Linear Algebra Examples

$[\begin{array}{c} 30 & - 6 \\ 30 & 42 \end{array}] + [\begin{array}{c} 0 & 4 \\ 4 & - 12 \end{array}]$

Step 1

Add the corresponding elements.

$[\begin{array}{c} 30 + 0 & - 6 + 4 \\ 30 + 4 & 42 - 12 \end{array}]$

Step 2

Simplify each element.

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Step 2.1

Add $30$ and $0$ .

$[\begin{array}{c} 30 & - 6 + 4 \\ 30 + 4 & 42 - 12 \end{array}]$

Step 2.2

Add $- 6$ and $4$ .

$[\begin{array}{c} 30 & - 2 \\ 30 + 4 & 42 - 12 \end{array}]$

Step 2.3

Add $30$ and $4$ .

$[\begin{array}{c} 30 & - 2 \\ 34 & 42 - 12 \end{array}]$

Step 2.4

Subtract $12$ from $42$ .

$[\begin{array}{c} 30 & - 2 \\ 34 & 30 \end{array}]$