Linear Algebra Examples

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

Step 1

Add the corresponding elements.

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

Step 2

Simplify each element.

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Step 2.1

Add $1$ and $1$ .

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

Step 2.2

Add $2$ and $2$ .

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

Step 2.3

Add $2$ and $2$ .

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

Step 2.4

Add $1$ and $1$ .

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