Linear Algebra Examples

$[\begin{array}{c} 36 & - 36 \\ 8 & 16 \\ 12 & 24 \end{array}] - [\begin{array}{c} 9 & - 5 \\ 9 & 8 \\ 1 & - 8 \end{array}]$

Step 1

Subtract the corresponding elements.

$[\begin{array}{c} 36 - 9 & - 36 + 5 \\ 8 - 9 & 16 - 8 \\ 12 - 1 & 24 + 8 \end{array}]$

Step 2

Simplify each element.

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Step 2.1

Subtract $9$ from $36$ .

$[\begin{array}{c} 27 & - 36 + 5 \\ 8 - 9 & 16 - 8 \\ 12 - 1 & 24 + 8 \end{array}]$

Step 2.2

Add $- 36$ and $5$ .

$[\begin{array}{c} 27 & - 31 \\ 8 - 9 & 16 - 8 \\ 12 - 1 & 24 + 8 \end{array}]$

Step 2.3

Subtract $9$ from $8$ .

$[\begin{array}{c} 27 & - 31 \\ - 1 & 16 - 8 \\ 12 - 1 & 24 + 8 \end{array}]$

Step 2.4

Subtract $8$ from $16$ .

$[\begin{array}{c} 27 & - 31 \\ - 1 & 8 \\ 12 - 1 & 24 + 8 \end{array}]$

Step 2.5

Subtract $1$ from $12$ .

$[\begin{array}{c} 27 & - 31 \\ - 1 & 8 \\ 11 & 24 + 8 \end{array}]$

Step 2.6

Add $24$ and $8$ .

$[\begin{array}{c} 27 & - 31 \\ - 1 & 8 \\ 11 & 32 \end{array}]$