Examples

[\begin{matrix} 4 & 2 3 & 0 \end{matrix}] - [\begin{matrix} 1 & 3 2 & 1 \end{matrix}]

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

Step 1

Subtract the corresponding elements.

[\begin{matrix} 4 - 1 & 2 - 3 3 - 2 & 0 - 1 \end{matrix}]

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

Step 2

Simplify each element.

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Step 2.1

Subtract

1

$1$ from

4

$4$ .

[\begin{matrix} 3 & 2 - 3 3 - 2 & 0 - 1 \end{matrix}]

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

Step 2.2

Subtract

3

$3$ from

2

$2$ .

[\begin{matrix} 3 & - 1 3 - 2 & 0 - 1 \end{matrix}]

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

Step 2.3

Subtract

2

$2$ from

3

$3$ .

[\begin{matrix} 3 & - 1 1 & 0 - 1 \end{matrix}]

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

Step 2.4

Subtract

1

$1$ from

0

$0$ .

[\begin{matrix} 3 & - 1 1 & - 1 \end{matrix}]

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

[\begin{matrix} 3 & - 1 1 & - 1 \end{matrix}]

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

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