Linear Algebra Examples

$[\begin{array}{c} 0 & - 9 \\ 1 & 1 \\ - 1 & 8 \end{array}] + [\begin{array}{c} - 8 & 1 \\ 9 & - 5 \\ 9 & - 2 \end{array}]$

Step 1

Add the corresponding elements.

$[\begin{array}{c} 0 - 8 & - 9 + 1 \\ 1 + 9 & 1 - 5 \\ - 1 + 9 & 8 - 2 \end{array}]$

Step 2

Simplify each element.

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Step 2.1

Subtract $8$ from $0$ .

$[\begin{array}{c} - 8 & - 9 + 1 \\ 1 + 9 & 1 - 5 \\ - 1 + 9 & 8 - 2 \end{array}]$

Step 2.2

Add $- 9$ and $1$ .

$[\begin{array}{c} - 8 & - 8 \\ 1 + 9 & 1 - 5 \\ - 1 + 9 & 8 - 2 \end{array}]$

Step 2.3

Add $1$ and $9$ .

$[\begin{array}{c} - 8 & - 8 \\ 10 & 1 - 5 \\ - 1 + 9 & 8 - 2 \end{array}]$

Step 2.4

Subtract $5$ from $1$ .

$[\begin{array}{c} - 8 & - 8 \\ 10 & - 4 \\ - 1 + 9 & 8 - 2 \end{array}]$

Step 2.5

Add $- 1$ and $9$ .

$[\begin{array}{c} - 8 & - 8 \\ 10 & - 4 \\ 8 & 8 - 2 \end{array}]$

Step 2.6

Subtract $2$ from $8$ .

$[\begin{array}{c} - 8 & - 8 \\ 10 & - 4 \\ 8 & 6 \end{array}]$