Linear Algebra Examples

$[\begin{array}{c} 2 & 4 \\ 6 & - 4 \end{array}] + [\begin{array}{c} - 3 & - 7 \\ 20 & 10 \end{array}]$

Step 1

Add the corresponding elements.

$[\begin{array}{c} 2 - 3 & 4 - 7 \\ 6 + 20 & - 4 + 10 \end{array}]$

Step 2

Simplify each element.

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Step 2.1

Subtract $3$ from $2$ .

$[\begin{array}{c} - 1 & 4 - 7 \\ 6 + 20 & - 4 + 10 \end{array}]$

Step 2.2

Subtract $7$ from $4$ .

$[\begin{array}{c} - 1 & - 3 \\ 6 + 20 & - 4 + 10 \end{array}]$

Step 2.3

Add $6$ and $20$ .

$[\begin{array}{c} - 1 & - 3 \\ 26 & - 4 + 10 \end{array}]$

Step 2.4

Add $- 4$ and $10$ .

$[\begin{array}{c} - 1 & - 3 \\ 26 & 6 \end{array}]$