Linear Algebra Examples

$[\begin{array}{c} 1 & 0 \\ - 8 & 9 \end{array}] - [\begin{array}{c} - 24 & - 32 \\ 24 & - 40 \end{array}]$

Step 1

Subtract the corresponding elements.

$[\begin{array}{c} 1 + 24 & 0 + 32 \\ - 8 - 24 & 9 + 40 \end{array}]$

Step 2

Simplify each element.

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Step 2.1

Add $1$ and $24$ .

$[\begin{array}{c} 25 & 0 + 32 \\ - 8 - 24 & 9 + 40 \end{array}]$

Step 2.2

Add $0$ and $32$ .

$[\begin{array}{c} 25 & 32 \\ - 8 - 24 & 9 + 40 \end{array}]$

Step 2.3

Subtract $24$ from $- 8$ .

$[\begin{array}{c} 25 & 32 \\ - 32 & 9 + 40 \end{array}]$

Step 2.4

Add $9$ and $40$ .

$[\begin{array}{c} 25 & 32 \\ - 32 & 49 \end{array}]$