Linear Algebra Examples

$[\begin{array}{c} - 7 & - 13 \\ - 15 & 11 \\ 6 & - 14 \end{array}] - [\begin{array}{c} - 12 & - 8 \\ - 14 & - 15 \\ - 11 & 9 \end{array}]$

Step 1

Subtract the corresponding elements.

$[\begin{array}{c} - 7 + 12 & - 13 + 8 \\ - 15 + 14 & 11 + 15 \\ 6 + 11 & - 14 - 9 \end{array}]$

Step 2

Simplify each element.

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Step 2.1

Add $- 7$ and $12$ .

$[\begin{array}{c} 5 & - 13 + 8 \\ - 15 + 14 & 11 + 15 \\ 6 + 11 & - 14 - 9 \end{array}]$

Step 2.2

Add $- 13$ and $8$ .

$[\begin{array}{c} 5 & - 5 \\ - 15 + 14 & 11 + 15 \\ 6 + 11 & - 14 - 9 \end{array}]$

Step 2.3

Add $- 15$ and $14$ .

$[\begin{array}{c} 5 & - 5 \\ - 1 & 11 + 15 \\ 6 + 11 & - 14 - 9 \end{array}]$

Step 2.4

Add $11$ and $15$ .

$[\begin{array}{c} 5 & - 5 \\ - 1 & 26 \\ 6 + 11 & - 14 - 9 \end{array}]$

Step 2.5

Add $6$ and $11$ .

$[\begin{array}{c} 5 & - 5 \\ - 1 & 26 \\ 17 & - 14 - 9 \end{array}]$

Step 2.6

Subtract $9$ from $- 14$ .

$[\begin{array}{c} 5 & - 5 \\ - 1 & 26 \\ 17 & - 23 \end{array}]$