Linear Algebra Examples

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

Step 1

Subtract the corresponding elements.

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

Step 2

Simplify each element.

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Step 2.1

Subtract $2$ from $1$ .

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

Step 2.2

Add $- 1$ and $1$ .

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

Step 2.3

Add $2$ and $1$ .

$[\begin{array}{c} - 1 & 0 \\ 3 & - 1 - 8 \end{array}]$

Step 2.4

Subtract $8$ from $- 1$ .

$[\begin{array}{c} - 1 & 0 \\ 3 & - 9 \end{array}]$