Algebra lineare Esempi

$3 [\begin{array}{c} 0 & 0 & 2 \\ 3 & 1 & 0 \\ 0 & - 2 & 4 \end{array}] - 2 [\begin{array}{c} 0 & 2 & 1 \\ 3 & 0 & 5 \\ 7 & - 6 & 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 5 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3.5 & - 1 \end{array}]$

Step 1

Moltiplica $3$ per ogni elemento della matrice.

$[\begin{array}{c} 3 \cdot 0 & 3 \cdot 0 & 3 \cdot 2 \\ 3 \cdot 3 & 3 \cdot 1 & 3 \cdot 0 \\ 3 \cdot 0 & 3 \cdot - 2 & 3 \cdot 4 \end{array}] - 2 [\begin{array}{c} 0 & 2 & 1 \\ 3 & 0 & 5 \\ 7 & - 6 & 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 5 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3.5 & - 1 \end{array}]$

Step 2

Semplifica ogni elemento nella matrice.

Tocca per altri passaggi...

Riordina $3 \cdot 0$ .

$[\begin{array}{c} 0 & 3 \cdot 0 & 3 \cdot 2 \\ 3 \cdot 3 & 3 \cdot 1 & 3 \cdot 0 \\ 3 \cdot 0 & 3 \cdot - 2 & 3 \cdot 4 \end{array}] - 2 [\begin{array}{c} 0 & 2 & 1 \\ 3 & 0 & 5 \\ 7 & - 6 & 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 5 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3.5 & - 1 \end{array}]$

Riordina $3 \cdot 0$ .

$[\begin{array}{c} 0 & 0 & 3 \cdot 2 \\ 3 \cdot 3 & 3 \cdot 1 & 3 \cdot 0 \\ 3 \cdot 0 & 3 \cdot - 2 & 3 \cdot 4 \end{array}] - 2 [\begin{array}{c} 0 & 2 & 1 \\ 3 & 0 & 5 \\ 7 & - 6 & 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 5 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3.5 & - 1 \end{array}]$

Riordina $3 \cdot 2$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 3 \cdot 3 & 3 \cdot 1 & 3 \cdot 0 \\ 3 \cdot 0 & 3 \cdot - 2 & 3 \cdot 4 \end{array}] - 2 [\begin{array}{c} 0 & 2 & 1 \\ 3 & 0 & 5 \\ 7 & - 6 & 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 5 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3.5 & - 1 \end{array}]$

Riordina $3 \cdot 3$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 \cdot 1 & 3 \cdot 0 \\ 3 \cdot 0 & 3 \cdot - 2 & 3 \cdot 4 \end{array}] - 2 [\begin{array}{c} 0 & 2 & 1 \\ 3 & 0 & 5 \\ 7 & - 6 & 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 5 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3.5 & - 1 \end{array}]$

Riordina $3 \cdot 1$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 3 \cdot 0 \\ 3 \cdot 0 & 3 \cdot - 2 & 3 \cdot 4 \end{array}] - 2 [\begin{array}{c} 0 & 2 & 1 \\ 3 & 0 & 5 \\ 7 & - 6 & 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 5 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3.5 & - 1 \end{array}]$

Riordina $3 \cdot 0$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 3 \cdot 0 & 3 \cdot - 2 & 3 \cdot 4 \end{array}] - 2 [\begin{array}{c} 0 & 2 & 1 \\ 3 & 0 & 5 \\ 7 & - 6 & 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 5 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3.5 & - 1 \end{array}]$

Riordina $3 \cdot 0$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & 3 \cdot - 2 & 3 \cdot 4 \end{array}] - 2 [\begin{array}{c} 0 & 2 & 1 \\ 3 & 0 & 5 \\ 7 & - 6 & 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 5 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3.5 & - 1 \end{array}]$

Riordina $3 \cdot - 2$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 3 \cdot 4 \end{array}] - 2 [\begin{array}{c} 0 & 2 & 1 \\ 3 & 0 & 5 \\ 7 & - 6 & 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 5 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3.5 & - 1 \end{array}]$

Riordina $3 \cdot 4$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] - 2 [\begin{array}{c} 0 & 2 & 1 \\ 3 & 0 & 5 \\ 7 & - 6 & 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 5 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3.5 & - 1 \end{array}]$

Step 3

Moltiplica $- 2$ per ogni elemento della matrice.

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} - 2 \cdot 0 & - 2 \cdot 2 & - 2 \cdot 1 \\ - 2 \cdot 3 & - 2 \cdot 0 & - 2 \cdot 5 \\ - 2 \cdot 7 & - 2 \cdot - 6 & - 2 \cdot 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 5 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3.5 & - 1 \end{array}]$

Step 4

Semplifica ogni elemento nella matrice.

Tocca per altri passaggi...

Riordina $- 2 \cdot 0$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 2 \cdot 2 & - 2 \cdot 1 \\ - 2 \cdot 3 & - 2 \cdot 0 & - 2 \cdot 5 \\ - 2 \cdot 7 & - 2 \cdot - 6 & - 2 \cdot 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 5 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3.5 & - 1 \end{array}]$

Riordina $- 2 \cdot 2$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \cdot 1 \\ - 2 \cdot 3 & - 2 \cdot 0 & - 2 \cdot 5 \\ - 2 \cdot 7 & - 2 \cdot - 6 & - 2 \cdot 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 5 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3.5 & - 1 \end{array}]$

Riordina $- 2 \cdot 1$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 2 \cdot 3 & - 2 \cdot 0 & - 2 \cdot 5 \\ - 2 \cdot 7 & - 2 \cdot - 6 & - 2 \cdot 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 5 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3.5 & - 1 \end{array}]$

Riordina $- 2 \cdot 3$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & - 2 \cdot 0 & - 2 \cdot 5 \\ - 2 \cdot 7 & - 2 \cdot - 6 & - 2 \cdot 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 5 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3.5 & - 1 \end{array}]$

Riordina $- 2 \cdot 0$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 2 \cdot 5 \\ - 2 \cdot 7 & - 2 \cdot - 6 & - 2 \cdot 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 5 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3.5 & - 1 \end{array}]$

Riordina $- 2 \cdot 5$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 2 \cdot 7 & - 2 \cdot - 6 & - 2 \cdot 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 5 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3.5 & - 1 \end{array}]$

Riordina $- 2 \cdot 7$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & - 2 \cdot - 6 & - 2 \cdot 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 5 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3.5 & - 1 \end{array}]$

Riordina $- 2 \cdot - 6$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & - 2 \cdot 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 5 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3.5 & - 1 \end{array}]$

Riordina $- 2 \cdot 0$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 5 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3.5 & - 1 \end{array}]$

Step 5

Moltiplica $8$ per ogni elemento della matrice.

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 \cdot 1 & 8 \cdot - 1 & 8 \cdot 2 \\ 8 \cdot 3 & 8 \cdot 4 & 8 \cdot 5 \\ 8 \cdot 0 & 8 \cdot 1 & 8 \cdot - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 5 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3.5 & - 1 \end{array}]$

Step 6

Semplifica ogni elemento nella matrice.

Tocca per altri passaggi...

Riordina $8 \cdot 1$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & 8 \cdot - 1 & 8 \cdot 2 \\ 8 \cdot 3 & 8 \cdot 4 & 8 \cdot 5 \\ 8 \cdot 0 & 8 \cdot 1 & 8 \cdot - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 5 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3.5 & - 1 \end{array}]$

Riordina $8 \cdot - 1$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 8 \cdot 2 \\ 8 \cdot 3 & 8 \cdot 4 & 8 \cdot 5 \\ 8 \cdot 0 & 8 \cdot 1 & 8 \cdot - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 5 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3.5 & - 1 \end{array}]$

Riordina $8 \cdot 2$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 8 \cdot 3 & 8 \cdot 4 & 8 \cdot 5 \\ 8 \cdot 0 & 8 \cdot 1 & 8 \cdot - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 5 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3.5 & - 1 \end{array}]$

Riordina $8 \cdot 3$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 8 \cdot 4 & 8 \cdot 5 \\ 8 \cdot 0 & 8 \cdot 1 & 8 \cdot - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 5 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3.5 & - 1 \end{array}]$

Riordina $8 \cdot 4$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 8 \cdot 5 \\ 8 \cdot 0 & 8 \cdot 1 & 8 \cdot - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 5 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3.5 & - 1 \end{array}]$

Riordina $8 \cdot 5$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 8 \cdot 0 & 8 \cdot 1 & 8 \cdot - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 5 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3.5 & - 1 \end{array}]$

Riordina $8 \cdot 0$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 \cdot 1 & 8 \cdot - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 5 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3.5 & - 1 \end{array}]$

Riordina $8 \cdot 1$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & 8 \cdot - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 5 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3.5 & - 1 \end{array}]$

Riordina $8 \cdot - 1$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 5 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3.5 & - 1 \end{array}]$

Step 7

Moltiplica $- 4$ per ogni elemento della matrice.

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} - 4 \cdot 0 & - 4 \cdot 25 & - 4 \cdot 12 & - 4 \cdot 5 \\ - 4 \cdot 6 & - 4 \cdot 75 & - 4 \cdot 8 & - 4 \cdot 75 & - 4 \cdot 7 & - 4 \cdot 5 \\ - 4 \cdot - 3 & - 4 \cdot 5 & - 4 \cdot 3.5 & - 4 \cdot - 1 \end{array}]$

Step 8

Semplifica ogni elemento nella matrice.

Tocca per altri passaggi...

Riordina $- 4 \cdot 0$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 4 \cdot 25 & - 4 \cdot 12 & - 4 \cdot 5 \\ - 4 \cdot 6 & - 4 \cdot 75 & - 4 \cdot 8 & - 4 \cdot 75 & - 4 \cdot 7 & - 4 \cdot 5 \\ - 4 \cdot - 3 & - 4 \cdot 5 & - 4 \cdot 3.5 & - 4 \cdot - 1 \end{array}]$

Riordina $- 4 \cdot 25$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 4 \cdot 12 & - 4 \cdot 5 \\ - 4 \cdot 6 & - 4 \cdot 75 & - 4 \cdot 8 & - 4 \cdot 75 & - 4 \cdot 7 & - 4 \cdot 5 \\ - 4 \cdot - 3 & - 4 \cdot 5 & - 4 \cdot 3.5 & - 4 \cdot - 1 \end{array}]$

Riordina $- 4 \cdot 12$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & - 4 \cdot 5 \\ - 4 \cdot 6 & - 4 \cdot 75 & - 4 \cdot 8 & - 4 \cdot 75 & - 4 \cdot 7 & - 4 \cdot 5 \\ - 4 \cdot - 3 & - 4 \cdot 5 & - 4 \cdot 3.5 & - 4 \cdot - 1 \end{array}]$

Riordina $- 4 \cdot 5$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & - 20 \\ - 4 \cdot 6 & - 4 \cdot 75 & - 4 \cdot 8 & - 4 \cdot 75 & - 4 \cdot 7 & - 4 \cdot 5 \\ - 4 \cdot - 3 & - 4 \cdot 5 & - 4 \cdot 3.5 & - 4 \cdot - 1 \end{array}]$

Riordina $- 4 \cdot 6$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & - 20 \\ - 24 & - 4 \cdot 75 & - 4 \cdot 8 & - 4 \cdot 75 & - 4 \cdot 7 & - 4 \cdot 5 \\ - 4 \cdot - 3 & - 4 \cdot 5 & - 4 \cdot 3.5 & - 4 \cdot - 1 \end{array}]$

Riordina $- 4 \cdot 75$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & - 20 \\ - 24 & - 300 & - 4 \cdot 8 & - 4 \cdot 75 & - 4 \cdot 7 & - 4 \cdot 5 \\ - 4 \cdot - 3 & - 4 \cdot 5 & - 4 \cdot 3.5 & - 4 \cdot - 1 \end{array}]$

Riordina $- 4 \cdot 8$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & - 20 \\ - 24 & - 300 & - 32 & - 4 \cdot 75 & - 4 \cdot 7 & - 4 \cdot 5 \\ - 4 \cdot - 3 & - 4 \cdot 5 & - 4 \cdot 3.5 & - 4 \cdot - 1 \end{array}]$

Riordina $- 4 \cdot 75$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & - 20 \\ - 24 & - 300 & - 32 & - 300 & - 4 \cdot 7 & - 4 \cdot 5 \\ - 4 \cdot - 3 & - 4 \cdot 5 & - 4 \cdot 3.5 & - 4 \cdot - 1 \end{array}]$

Riordina $- 4 \cdot 7$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & - 20 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 4 \cdot 5 \\ - 4 \cdot - 3 & - 4 \cdot 5 & - 4 \cdot 3.5 & - 4 \cdot - 1 \end{array}]$

Riordina $- 4 \cdot 5$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & - 20 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ - 4 \cdot - 3 & - 4 \cdot 5 & - 4 \cdot 3.5 & - 4 \cdot - 1 \end{array}]$

Riordina $- 4 \cdot - 3$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & - 20 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 4 \cdot 5 & - 4 \cdot 3.5 & - 4 \cdot - 1 \end{array}]$

Riordina $- 4 \cdot 5$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & - 20 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 4 \cdot 3.5 & - 4 \cdot - 1 \end{array}]$

Riordina $- 4 \cdot 3.5$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & - 20 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 14 & - 4 \cdot - 1 \end{array}]$

Riordina $- 4 \cdot - 1$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & - 20 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 14 & 4 \end{array}]$

Step 9

Aggiungi gli elementi corrispondenti.

$[\begin{array}{c} 0 + 0 & 0 - 4 & 6 - 2 \\ 9 - 6 & 3 + 0 & 0 - 10 \\ 0 - 14 & - 6 + 12 & 12 + 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & - 20 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 14 & 4 \end{array}]$

Step 10

Semplifica ogni elemento della matrice $[\begin{array}{c} 0 + 0 & 0 - 4 & 6 - 2 \\ 9 - 6 & 3 + 0 & 0 - 10 \\ 0 - 14 & - 6 + 12 & 12 + 0 \end{array}]$ .

Tocca per altri passaggi...

Semplifica $0 + 0$ .

$[\begin{array}{c} 0 & 0 - 4 & 6 - 2 \\ 9 - 6 & 3 + 0 & 0 - 10 \\ 0 - 14 & - 6 + 12 & 12 + 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & - 20 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 14 & 4 \end{array}]$

Semplifica $0 - 4$ .

$[\begin{array}{c} 0 & - 4 & 6 - 2 \\ 9 - 6 & 3 + 0 & 0 - 10 \\ 0 - 14 & - 6 + 12 & 12 + 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & - 20 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 14 & 4 \end{array}]$

Semplifica $6 - 2$ .

$[\begin{array}{c} 0 & - 4 & 4 \\ 9 - 6 & 3 + 0 & 0 - 10 \\ 0 - 14 & - 6 + 12 & 12 + 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & - 20 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 14 & 4 \end{array}]$

Semplifica $9 - 6$ .

$[\begin{array}{c} 0 & - 4 & 4 \\ 3 & 3 + 0 & 0 - 10 \\ 0 - 14 & - 6 + 12 & 12 + 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & - 20 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 14 & 4 \end{array}]$

Semplifica $3 + 0$ .

$[\begin{array}{c} 0 & - 4 & 4 \\ 3 & 3 & 0 - 10 \\ 0 - 14 & - 6 + 12 & 12 + 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & - 20 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 14 & 4 \end{array}]$

Semplifica $0 - 10$ .

$[\begin{array}{c} 0 & - 4 & 4 \\ 3 & 3 & - 10 \\ 0 - 14 & - 6 + 12 & 12 + 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & - 20 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 14 & 4 \end{array}]$

Semplifica $0 - 14$ .

$[\begin{array}{c} 0 & - 4 & 4 \\ 3 & 3 & - 10 \\ - 14 & - 6 + 12 & 12 + 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & - 20 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 14 & 4 \end{array}]$

Semplifica $- 6 + 12$ .

$[\begin{array}{c} 0 & - 4 & 4 \\ 3 & 3 & - 10 \\ - 14 & 6 & 12 + 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & - 20 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 14 & 4 \end{array}]$

Semplifica $12 + 0$ .

$[\begin{array}{c} 0 & - 4 & 4 \\ 3 & 3 & - 10 \\ - 14 & 6 & 12 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & - 20 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 14 & 4 \end{array}]$

Step 11

Aggiungi gli elementi corrispondenti.

$[\begin{array}{c} 0 + 8 & - 4 - 8 & 4 + 16 \\ 3 + 24 & 3 + 32 & - 10 + 40 \\ - 14 + 0 & 6 + 8 & 12 - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & - 20 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 14 & 4 \end{array}]$

Step 12

Semplifica ogni elemento della matrice $[\begin{array}{c} 0 + 8 & - 4 - 8 & 4 + 16 \\ 3 + 24 & 3 + 32 & - 10 + 40 \\ - 14 + 0 & 6 + 8 & 12 - 8 \end{array}]$ .

Tocca per altri passaggi...

Semplifica $0 + 8$ .

$[\begin{array}{c} 8 & - 4 - 8 & 4 + 16 \\ 3 + 24 & 3 + 32 & - 10 + 40 \\ - 14 + 0 & 6 + 8 & 12 - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & - 20 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 14 & 4 \end{array}]$

Semplifica $- 4 - 8$ .

$[\begin{array}{c} 8 & - 12 & 4 + 16 \\ 3 + 24 & 3 + 32 & - 10 + 40 \\ - 14 + 0 & 6 + 8 & 12 - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & - 20 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 14 & 4 \end{array}]$

Semplifica $4 + 16$ .

$[\begin{array}{c} 8 & - 12 & 20 \\ 3 + 24 & 3 + 32 & - 10 + 40 \\ - 14 + 0 & 6 + 8 & 12 - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & - 20 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 14 & 4 \end{array}]$

Semplifica $3 + 24$ .

$[\begin{array}{c} 8 & - 12 & 20 \\ 27 & 3 + 32 & - 10 + 40 \\ - 14 + 0 & 6 + 8 & 12 - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & - 20 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 14 & 4 \end{array}]$

Semplifica $3 + 32$ .

$[\begin{array}{c} 8 & - 12 & 20 \\ 27 & 35 & - 10 + 40 \\ - 14 + 0 & 6 + 8 & 12 - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & - 20 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 14 & 4 \end{array}]$

Semplifica $- 10 + 40$ .

$[\begin{array}{c} 8 & - 12 & 20 \\ 27 & 35 & 30 \\ - 14 + 0 & 6 + 8 & 12 - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & - 20 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 14 & 4 \end{array}]$

Semplifica $- 14 + 0$ .

$[\begin{array}{c} 8 & - 12 & 20 \\ 27 & 35 & 30 \\ - 14 & 6 + 8 & 12 - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & - 20 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 14 & 4 \end{array}]$

Semplifica $6 + 8$ .

$[\begin{array}{c} 8 & - 12 & 20 \\ 27 & 35 & 30 \\ - 14 & 14 & 12 - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & - 20 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 14 & 4 \end{array}]$

Semplifica $12 - 8$ .

$[\begin{array}{c} 8 & - 12 & 20 \\ 27 & 35 & 30 \\ - 14 & 14 & 4 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & - 20 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 14 & 4 \end{array}]$