Linear Algebra Examples

$[\begin{array}{c} 2 & 0 \\ 3 & 1 \end{array}] - [\begin{array}{c} 7 & - 1 \\ - 3 & 4 \end{array}]$

Step 1

Subtract the corresponding elements.

$[\begin{array}{c} 2 - 7 & 0 + 1 \\ 3 + 3 & 1 - 4 \end{array}]$

Step 2

Simplify each element.

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Step 2.1

Subtract $7$ from $2$ .

$[\begin{array}{c} - 5 & 0 + 1 \\ 3 + 3 & 1 - 4 \end{array}]$

Step 2.2

Add $0$ and $1$ .

$[\begin{array}{c} - 5 & 1 \\ 3 + 3 & 1 - 4 \end{array}]$

Step 2.3

Add $3$ and $3$ .

$[\begin{array}{c} - 5 & 1 \\ 6 & 1 - 4 \end{array}]$

Step 2.4

Subtract $4$ from $1$ .

$[\begin{array}{c} - 5 & 1 \\ 6 & - 3 \end{array}]$