Linear Algebra Examples

$[\begin{array}{c} 2 & 3 \\ 2 & 5 \end{array}] + [\begin{array}{c} - 1 & 3 \\ - 4 & 6 \end{array}]$

Step 1

Add the corresponding elements.

$[\begin{array}{c} 2 - 1 & 3 + 3 \\ 2 - 4 & 5 + 6 \end{array}]$

Step 2

Simplify each element.

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Step 2.1

Subtract $1$ from $2$ .

$[\begin{array}{c} 1 & 3 + 3 \\ 2 - 4 & 5 + 6 \end{array}]$

Step 2.2

Add $3$ and $3$ .

$[\begin{array}{c} 1 & 6 \\ 2 - 4 & 5 + 6 \end{array}]$

Step 2.3

Subtract $4$ from $2$ .

$[\begin{array}{c} 1 & 6 \\ - 2 & 5 + 6 \end{array}]$

Step 2.4

Add $5$ and $6$ .

$[\begin{array}{c} 1 & 6 \\ - 2 & 11 \end{array}]$