Linear Algebra Examples

$[\begin{array}{c} 8 & 3 \\ 4 & - 7 \\ - 8 & - 5 \end{array}] + [\begin{array}{c} 5 & - 2 \\ 8 & 4 \\ 4 & - 4 \end{array}]$

Step 1

Add the corresponding elements.

$[\begin{array}{c} 8 + 5 & 3 - 2 \\ 4 + 8 & - 7 + 4 \\ - 8 + 4 & - 5 - 4 \end{array}]$

Step 2

Simplify each element.

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Step 2.1

Add $8$ and $5$ .

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

Step 2.2

Subtract $2$ from $3$ .

$[\begin{array}{c} 13 & 1 \\ 4 + 8 & - 7 + 4 \\ - 8 + 4 & - 5 - 4 \end{array}]$

Step 2.3

Add $4$ and $8$ .

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

Step 2.4

Add $- 7$ and $4$ .

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

Step 2.5

Add $- 8$ and $4$ .

$[\begin{array}{c} 13 & 1 \\ 12 & - 3 \\ - 4 & - 5 - 4 \end{array}]$

Step 2.6

Subtract $4$ from $- 5$ .

$[\begin{array}{c} 13 & 1 \\ 12 & - 3 \\ - 4 & - 9 \end{array}]$