Linear Algebra Examples

$[\begin{array}{c} 1 & 2 & - 3 \\ 4 & 0 & 2 \end{array}] + [\begin{array}{c} - 1 & 6 & 3 \\ 8 & 12 & 14 \end{array}]$

Step 1

Add the corresponding elements.

$[\begin{array}{c} 1 - 1 & 2 + 6 & - 3 + 3 \\ 4 + 8 & 0 + 12 & 2 + 14 \end{array}]$

Step 2

Simplify each element.

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Step 2.1

Subtract $1$ from $1$ .

$[\begin{array}{c} 0 & 2 + 6 & - 3 + 3 \\ 4 + 8 & 0 + 12 & 2 + 14 \end{array}]$

Step 2.2

Add $2$ and $6$ .

$[\begin{array}{c} 0 & 8 & - 3 + 3 \\ 4 + 8 & 0 + 12 & 2 + 14 \end{array}]$

Step 2.3

Add $- 3$ and $3$ .

$[\begin{array}{c} 0 & 8 & 0 \\ 4 + 8 & 0 + 12 & 2 + 14 \end{array}]$

Step 2.4

Add $4$ and $8$ .

$[\begin{array}{c} 0 & 8 & 0 \\ 12 & 0 + 12 & 2 + 14 \end{array}]$

Step 2.5

Add $0$ and $12$ .

$[\begin{array}{c} 0 & 8 & 0 \\ 12 & 12 & 2 + 14 \end{array}]$

Step 2.6

Add $2$ and $14$ .

$[\begin{array}{c} 0 & 8 & 0 \\ 12 & 12 & 16 \end{array}]$