Linear Algebra Examples

$[\begin{array}{c} 2 & - 12 \\ 1 & - 5 \end{array}] + [\begin{array}{c} 2 & 0 \\ 0 & 2 \end{array}]$

Step 1

Add the corresponding elements.

$[\begin{array}{c} 2 + 2 & - 12 + 0 \\ 1 + 0 & - 5 + 2 \end{array}]$

Step 2

Simplify each element.

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Step 2.1

Add $2$ and $2$ .

$[\begin{array}{c} 4 & - 12 + 0 \\ 1 + 0 & - 5 + 2 \end{array}]$

Step 2.2

Add $- 12$ and $0$ .

$[\begin{array}{c} 4 & - 12 \\ 1 + 0 & - 5 + 2 \end{array}]$

Step 2.3

Add $1$ and $0$ .

$[\begin{array}{c} 4 & - 12 \\ 1 & - 5 + 2 \end{array}]$

Step 2.4

Add $- 5$ and $2$ .

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