Linear Algebra Examples

$[\begin{array}{c} 7 & 10 \\ 15 & 22 \end{array}] - [\begin{array}{c} 67 & 78 \\ 91 & 106 \end{array}]$

Step 1

Subtract the corresponding elements.

$[\begin{array}{c} 7 - 67 & 10 - 78 \\ 15 - 91 & 22 - 106 \end{array}]$

Step 2

Simplify each element.

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Step 2.1

Subtract $67$ from $7$ .

$[\begin{array}{c} - 60 & 10 - 78 \\ 15 - 91 & 22 - 106 \end{array}]$

Step 2.2

Subtract $78$ from $10$ .

$[\begin{array}{c} - 60 & - 68 \\ 15 - 91 & 22 - 106 \end{array}]$

Step 2.3

Subtract $91$ from $15$ .

$[\begin{array}{c} - 60 & - 68 \\ - 76 & 22 - 106 \end{array}]$

Step 2.4

Subtract $106$ from $22$ .

$[\begin{array}{c} - 60 & - 68 \\ - 76 & - 84 \end{array}]$