Linear Algebra Examples

$[\begin{array}{c} 4 & - 3 & 0 & 8 & 7 & 5 \\ 0 & 1 & 0 & 2 & - 4 & - 6 \end{array}]$ ,

$[\begin{array}{c} 4 & - 1 & 7 & 5 & 4 & - 3 \\ - 12 & - 2 & - 6 & - 5 & 9 & 2 \end{array}]$

Step 1

Add the corresponding elements.

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

Step 2

Simplify each element.

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Step 2.1

Add

$4$ and

$4$ .

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

Step 2.2

Subtract

$1$ from

$- 3$ .

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

Step 2.3

Add

$0$ and

$7$ .

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

Step 2.4

Add

$8$ and

$5$ .

$[\begin{array}{c} 8 & - 4 & 7 & 13 & 7 + 4 & 5 - 3 \\ 0 - 12 & 1 - 2 & 0 - 6 & 2 - 5 & - 4 + 9 & - 6 + 2 \end{array}]$

Step 2.5

Add

$7$ and

$4$ .

$[\begin{array}{c} 8 & - 4 & 7 & 13 & 11 & 5 - 3 \\ 0 - 12 & 1 - 2 & 0 - 6 & 2 - 5 & - 4 + 9 & - 6 + 2 \end{array}]$

Step 2.6

Subtract

$3$ from

$5$ .

$[\begin{array}{c} 8 & - 4 & 7 & 13 & 11 & 2 \\ 0 - 12 & 1 - 2 & 0 - 6 & 2 - 5 & - 4 + 9 & - 6 + 2 \end{array}]$

Step 2.7

Subtract

$12$ from

$0$ .

$[\begin{array}{c} 8 & - 4 & 7 & 13 & 11 & 2 \\ - 12 & 1 - 2 & 0 - 6 & 2 - 5 & - 4 + 9 & - 6 + 2 \end{array}]$

Step 2.8

Subtract

$2$ from

$1$ .

$[\begin{array}{c} 8 & - 4 & 7 & 13 & 11 & 2 \\ - 12 & - 1 & 0 - 6 & 2 - 5 & - 4 + 9 & - 6 + 2 \end{array}]$

Step 2.9

Subtract

$6$ from

$0$ .

$[\begin{array}{c} 8 & - 4 & 7 & 13 & 11 & 2 \\ - 12 & - 1 & - 6 & 2 - 5 & - 4 + 9 & - 6 + 2 \end{array}]$

Step 2.10

Subtract

$5$ from

$2$ .

$[\begin{array}{c} 8 & - 4 & 7 & 13 & 11 & 2 \\ - 12 & - 1 & - 6 & - 3 & - 4 + 9 & - 6 + 2 \end{array}]$

Step 2.11

Add

$- 4$ and

$9$ .

$[\begin{array}{c} 8 & - 4 & 7 & 13 & 11 & 2 \\ - 12 & - 1 & - 6 & - 3 & 5 & - 6 + 2 \end{array}]$

Step 2.12

Add

$- 6$ and

$2$ .

$[\begin{array}{c} 8 & - 4 & 7 & 13 & 11 & 2 \\ - 12 & - 1 & - 6 & - 3 & 5 & - 4 \end{array}]$

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