Linear Algebra Examples

$[\begin{array}{c} - 1 & 2 \\ 2 & - 1 \end{array}] - [\begin{array}{c} - 3 & 0 \\ 0 & - 3 \end{array}]$

Step 1

Subtract the corresponding elements.

$[\begin{array}{c} - 1 + 3 & 2 - 0 \\ 2 - 0 & - 1 + 3 \end{array}]$

Step 2

Simplify each element.

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Step 2.1

Add $- 1$ and $3$ .

$[\begin{array}{c} 2 & 2 - 0 \\ 2 - 0 & - 1 + 3 \end{array}]$

Step 2.2

Subtract $0$ from $2$ .

$[\begin{array}{c} 2 & 2 \\ 2 - 0 & - 1 + 3 \end{array}]$

Step 2.3

Subtract $0$ from $2$ .

$[\begin{array}{c} 2 & 2 \\ 2 & - 1 + 3 \end{array}]$

Step 2.4

Add $- 1$ and $3$ .

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