Linear Algebra Examples

$[\begin{array}{c} 12 & 0 & 8 \\ 9 & 15 & - 11 \end{array}] - [\begin{array}{c} 4 & 0 & - 3 \\ - 6 & 2 & 9 \end{array}]$

Step 1

Subtract the corresponding elements.

$[\begin{array}{c} 12 - 4 & 0 - 0 & 8 + 3 \\ 9 + 6 & 15 - 2 & - 11 - 9 \end{array}]$

Step 2

Simplify each element.

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Step 2.1

Subtract $4$ from $12$ .

$[\begin{array}{c} 8 & 0 - 0 & 8 + 3 \\ 9 + 6 & 15 - 2 & - 11 - 9 \end{array}]$

Step 2.2

Subtract $0$ from $0$ .

$[\begin{array}{c} 8 & 0 & 8 + 3 \\ 9 + 6 & 15 - 2 & - 11 - 9 \end{array}]$

Step 2.3

Add $8$ and $3$ .

$[\begin{array}{c} 8 & 0 & 11 \\ 9 + 6 & 15 - 2 & - 11 - 9 \end{array}]$

Step 2.4

Add $9$ and $6$ .

$[\begin{array}{c} 8 & 0 & 11 \\ 15 & 15 - 2 & - 11 - 9 \end{array}]$

Step 2.5

Subtract $2$ from $15$ .

$[\begin{array}{c} 8 & 0 & 11 \\ 15 & 13 & - 11 - 9 \end{array}]$

Step 2.6

Subtract $9$ from $- 11$ .

$[\begin{array}{c} 8 & 0 & 11 \\ 15 & 13 & - 20 \end{array}]$