Linear Algebra Examples

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

Step 1

Add the corresponding elements.

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

Step 2

Simplify each element.

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Step 2.1

Subtract $2$ from $0$ .

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

Step 2.2

Add $5$ and $3$ .

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

Step 2.3

Add $3$ and $5$ .

$[\begin{array}{c} - 2 & 8 & 8 \\ - 2 + 7 & 6 - 9 & - 8 + 6 \end{array}]$

Step 2.4

Add $- 2$ and $7$ .

$[\begin{array}{c} - 2 & 8 & 8 \\ 5 & 6 - 9 & - 8 + 6 \end{array}]$

Step 2.5

Subtract $9$ from $6$ .

$[\begin{array}{c} - 2 & 8 & 8 \\ 5 & - 3 & - 8 + 6 \end{array}]$

Step 2.6

Add $- 8$ and $6$ .

$[\begin{array}{c} - 2 & 8 & 8 \\ 5 & - 3 & - 2 \end{array}]$