Linear Algebra Examples

$[\begin{array}{c} 2 & 1 \\ 1 & - 1 \end{array}] + [\begin{array}{c} 6 & - 4 \\ 6 & 4 \end{array}]$

Step 1

Add the corresponding elements.

$[\begin{array}{c} 2 + 6 & 1 - 4 \\ 1 + 6 & - 1 + 4 \end{array}]$

Step 2

Simplify each element.

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Step 2.1

Add $2$ and $6$ .

$[\begin{array}{c} 8 & 1 - 4 \\ 1 + 6 & - 1 + 4 \end{array}]$

Step 2.2

Subtract $4$ from $1$ .

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

Step 2.3

Add $1$ and $6$ .

$[\begin{array}{c} 8 & - 3 \\ 7 & - 1 + 4 \end{array}]$

Step 2.4

Add $- 1$ and $4$ .

$[\begin{array}{c} 8 & - 3 \\ 7 & 3 \end{array}]$