Algebra Examples

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

Step 1

Subtract the corresponding elements.

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

Step 2

Simplify each element.

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Step 2.1

Subtract $2$ from $1$ .

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

Step 2.2

Subtract $1$ from $- 3$ .

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

Step 2.3

Add $0$ and $3$ .

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

Step 2.4

Subtract $0$ from $0$ .

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

Step 2.5

Subtract $0$ from $- 1$ .

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

Step 2.6

Subtract $1$ from $2$ .

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