Linear Algebra Examples

$[\begin{array}{c} - 15 & - 11 \\ 20 & 0 \end{array}] + [\begin{array}{c} - 5 & 5 \\ 14 & - 14 \end{array}]$

Step 1

Add the corresponding elements.

$[\begin{array}{c} - 15 - 5 & - 11 + 5 \\ 20 + 14 & 0 - 14 \end{array}]$

Step 2

Simplify each element.

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Step 2.1

Subtract $5$ from $- 15$ .

$[\begin{array}{c} - 20 & - 11 + 5 \\ 20 + 14 & 0 - 14 \end{array}]$

Step 2.2

Add $- 11$ and $5$ .

$[\begin{array}{c} - 20 & - 6 \\ 20 + 14 & 0 - 14 \end{array}]$

Step 2.3

Add $20$ and $14$ .

$[\begin{array}{c} - 20 & - 6 \\ 34 & 0 - 14 \end{array}]$

Step 2.4

Subtract $14$ from $0$ .

$[\begin{array}{c} - 20 & - 6 \\ 34 & - 14 \end{array}]$