Linear Algebra Examples

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

Step 1

Add the corresponding elements.

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

Step 2

Simplify each element.

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Step 2.1

Add $- 1$ and $5$ .

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

Step 2.2

Subtract $3$ from $- 2$ .

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

Step 2.3

Add $4$ and $2$ .

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

Step 2.4

Subtract $1$ from $3$ .

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