Linear Algebra Examples

$[\begin{array}{c} 1 & 1 \\ 5 & 0 \end{array}] + [\begin{array}{c} 5 & 5 \\ 1 & 9 \end{array}]$

Step 1

Add the corresponding elements.

$[\begin{array}{c} 1 + 5 & 1 + 5 \\ 5 + 1 & 0 + 9 \end{array}]$

Step 2

Simplify each element.

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Step 2.1

Add $1$ and $5$ .

$[\begin{array}{c} 6 & 1 + 5 \\ 5 + 1 & 0 + 9 \end{array}]$

Step 2.2

Add $1$ and $5$ .

$[\begin{array}{c} 6 & 6 \\ 5 + 1 & 0 + 9 \end{array}]$

Step 2.3

Add $5$ and $1$ .

$[\begin{array}{c} 6 & 6 \\ 6 & 0 + 9 \end{array}]$

Step 2.4

Add $0$ and $9$ .

$[\begin{array}{c} 6 & 6 \\ 6 & 9 \end{array}]$