Linear Algebra Examples

$A [\begin{array}{c} - 9 & - 9 \\ 1 & - 4 \\ - 2 & - 3 \end{array}]$

Step 1

Multiply $A$ by each element of the matrix.

$[\begin{array}{c} A \cdot - 9 & A \cdot - 9 \\ A \cdot 1 & A \cdot - 4 \\ A \cdot - 2 & A \cdot - 3 \end{array}]$

Step 2

Simplify each element in the matrix.

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Step 2.1

Move $- 9$ to the left of $A$ .

$[\begin{array}{c} - 9 A & A \cdot - 9 \\ A \cdot 1 & A \cdot - 4 \\ A \cdot - 2 & A \cdot - 3 \end{array}]$

Step 2.2

Move $- 9$ to the left of $A$ .

$[\begin{array}{c} - 9 A & - 9 A \\ A \cdot 1 & A \cdot - 4 \\ A \cdot - 2 & A \cdot - 3 \end{array}]$

Step 2.3

Multiply $A$ by $1$ .

$[\begin{array}{c} - 9 A & - 9 A \\ A & A \cdot - 4 \\ A \cdot - 2 & A \cdot - 3 \end{array}]$

Step 2.4

Move $- 4$ to the left of $A$ .

$[\begin{array}{c} - 9 A & - 9 A \\ A & - 4 A \\ A \cdot - 2 & A \cdot - 3 \end{array}]$

Step 2.5

Move $- 2$ to the left of $A$ .

$[\begin{array}{c} - 9 A & - 9 A \\ A & - 4 A \\ - 2 A & A \cdot - 3 \end{array}]$

Step 2.6

Move $- 3$ to the left of $A$ .

$[\begin{array}{c} - 9 A & - 9 A \\ A & - 4 A \\ - 2 A & - 3 A \end{array}]$