Linear Algebra Examples

$[\begin{array}{c} - 4 & 8 \\ 4 & 9 \\ 8 & - 9 \end{array}] + [\begin{array}{c} - 9 & - 6 \\ - 5 & 9 \\ 3 & - 6 \end{array}]$

Step 1

Add the corresponding elements.

$[\begin{array}{c} - 4 - 9 & 8 - 6 \\ 4 - 5 & 9 + 9 \\ 8 + 3 & - 9 - 6 \end{array}]$

Step 2

Simplify each element.

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Step 2.1

Subtract $9$ from $- 4$ .

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

Step 2.2

Subtract $6$ from $8$ .

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

Step 2.3

Subtract $5$ from $4$ .

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

Step 2.4

Add $9$ and $9$ .

$[\begin{array}{c} - 13 & 2 \\ - 1 & 18 \\ 8 + 3 & - 9 - 6 \end{array}]$

Step 2.5

Add $8$ and $3$ .

$[\begin{array}{c} - 13 & 2 \\ - 1 & 18 \\ 11 & - 9 - 6 \end{array}]$

Step 2.6

Subtract $6$ from $- 9$ .

$[\begin{array}{c} - 13 & 2 \\ - 1 & 18 \\ 11 & - 15 \end{array}]$