Linear Algebra Examples

$[\begin{array}{c} 1 & 2 \\ 3 & 4 \\ - 1 & 0 \end{array}] - [\begin{array}{c} - 1 & 3 \\ 2 & 6 \\ 0 & 4 \end{array}]$

Step 1

Subtract the corresponding elements.

$[\begin{array}{c} 1 + 1 & 2 - 3 \\ 3 - 2 & 4 - 6 \\ - 1 - 0 & 0 - 4 \end{array}]$

Step 2

Simplify each element.

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Step 2.1

Add $1$ and $1$ .

$[\begin{array}{c} 2 & 2 - 3 \\ 3 - 2 & 4 - 6 \\ - 1 - 0 & 0 - 4 \end{array}]$

Step 2.2

Subtract $3$ from $2$ .

$[\begin{array}{c} 2 & - 1 \\ 3 - 2 & 4 - 6 \\ - 1 - 0 & 0 - 4 \end{array}]$

Step 2.3

Subtract $2$ from $3$ .

$[\begin{array}{c} 2 & - 1 \\ 1 & 4 - 6 \\ - 1 - 0 & 0 - 4 \end{array}]$

Step 2.4

Subtract $6$ from $4$ .

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

Step 2.5

Subtract $0$ from $- 1$ .

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

Step 2.6

Subtract $4$ from $0$ .

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