Linear Algebra Examples

$[\begin{array}{c} 0 & 0 \\ 0 & 0 \end{array}] - [\begin{array}{c} x & y \\ z & w \end{array}]$

Step 1

Subtract the corresponding elements.

$[\begin{array}{c} 0 - x & 0 - y \\ 0 - z & 0 - w \end{array}]$

Step 2

Simplify each element.

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Step 2.1

Subtract $x$ from $0$ .

$[\begin{array}{c} - x & 0 - y \\ 0 - z & 0 - w \end{array}]$

Step 2.2

Subtract $y$ from $0$ .

$[\begin{array}{c} - x & - y \\ 0 - z & 0 - w \end{array}]$

Step 2.3

Subtract $z$ from $0$ .

$[\begin{array}{c} - x & - y \\ - z & 0 - w \end{array}]$

Step 2.4

Subtract $w$ from $0$ .

$[\begin{array}{c} - x & - y \\ - z & - w \end{array}]$