Linear Algebra Examples

$[\begin{array}{c} 12 \\ 0 \\ - 1 \end{array}] + [\begin{array}{c} 8 \\ 21 \\ 12 \end{array}]$

Step 1

Add the corresponding elements.

$[\begin{array}{c} 12 + 8 \\ 0 + 21 \\ - 1 + 12 \end{array}]$

Step 2

Simplify each element.

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Step 2.1

Add $12$ and $8$ .

$[\begin{array}{c} 20 \\ 0 + 21 \\ - 1 + 12 \end{array}]$

Step 2.2

Add $0$ and $21$ .

$[\begin{array}{c} 20 \\ 21 \\ - 1 + 12 \end{array}]$

Step 2.3

Add $- 1$ and $12$ .

$[\begin{array}{c} 20 \\ 21 \\ 11 \end{array}]$