Linear Algebra Examples

$[\begin{array}{c} - 2 & - 1 \\ - 1 & - 2 \end{array}] + [\begin{array}{c} 3 & 0 \\ 0 & 3 \end{array}]$

Step 1

Add the corresponding elements.

$[\begin{array}{c} - 2 + 3 & - 1 + 0 \\ - 1 + 0 & - 2 + 3 \end{array}]$

Step 2

Simplify each element.

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Step 2.1

Add $- 2$ and $3$ .

$[\begin{array}{c} 1 & - 1 + 0 \\ - 1 + 0 & - 2 + 3 \end{array}]$

Step 2.2

Add $- 1$ and $0$ .

$[\begin{array}{c} 1 & - 1 \\ - 1 + 0 & - 2 + 3 \end{array}]$

Step 2.3

Add $- 1$ and $0$ .

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

Step 2.4

Add $- 2$ and $3$ .

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