Linear Algebra Examples

$[\begin{array}{c} 0 & - 2 \\ 2 & 1 \\ - 2 & 6 \\ 6 & 0 \end{array}] - [\begin{array}{c} 1 & - 1 \\ 1 & 1 \\ 1 & 1 \\ 1 & 1 \end{array}]$

Step 1

Subtract the corresponding elements.

$[\begin{array}{c} 0 - 1 & - 2 + 1 \\ 2 - 1 & 1 - 1 \\ - 2 - 1 & 6 - 1 \\ 6 - 1 & 0 - 1 \end{array}]$

Step 2

Simplify each element.

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Step 2.1

Subtract $1$ from $0$ .

$[\begin{array}{c} - 1 & - 2 + 1 \\ 2 - 1 & 1 - 1 \\ - 2 - 1 & 6 - 1 \\ 6 - 1 & 0 - 1 \end{array}]$

Step 2.2

Add $- 2$ and $1$ .

$[\begin{array}{c} - 1 & - 1 \\ 2 - 1 & 1 - 1 \\ - 2 - 1 & 6 - 1 \\ 6 - 1 & 0 - 1 \end{array}]$

Step 2.3

Subtract $1$ from $2$ .

$[\begin{array}{c} - 1 & - 1 \\ 1 & 1 - 1 \\ - 2 - 1 & 6 - 1 \\ 6 - 1 & 0 - 1 \end{array}]$

Step 2.4

Subtract $1$ from $1$ .

$[\begin{array}{c} - 1 & - 1 \\ 1 & 0 \\ - 2 - 1 & 6 - 1 \\ 6 - 1 & 0 - 1 \end{array}]$

Step 2.5

Subtract $1$ from $- 2$ .

$[\begin{array}{c} - 1 & - 1 \\ 1 & 0 \\ - 3 & 6 - 1 \\ 6 - 1 & 0 - 1 \end{array}]$

Step 2.6

Subtract $1$ from $6$ .

$[\begin{array}{c} - 1 & - 1 \\ 1 & 0 \\ - 3 & 5 \\ 6 - 1 & 0 - 1 \end{array}]$

Step 2.7

Subtract $1$ from $6$ .

$[\begin{array}{c} - 1 & - 1 \\ 1 & 0 \\ - 3 & 5 \\ 5 & 0 - 1 \end{array}]$

Step 2.8

Subtract $1$ from $0$ .

$[\begin{array}{c} - 1 & - 1 \\ 1 & 0 \\ - 3 & 5 \\ 5 & - 1 \end{array}]$