Linear Algebra Examples

[\begin{matrix} 5 & - 2 4 & 1 \end{matrix}] - [\begin{matrix} 0 & - 2 4 & - 2 \end{matrix}]

$[\begin{array}{c} 5 & - 2 \\ 4 & 1 \end{array}] - [\begin{array}{c} 0 & - 2 \\ 4 & - 2 \end{array}]$

Step 1

Subtract the corresponding elements.

[\begin{matrix} 5 - 0 & - 2 + 2 4 - 4 & 1 + 2 \end{matrix}]

$[\begin{array}{c} 5 - 0 & - 2 + 2 \\ 4 - 4 & 1 + 2 \end{array}]$

Step 2

Simplify each element.

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Step 2.1

Subtract

0

$0$ from

5

$5$ .

[\begin{matrix} 5 & - 2 + 2 4 - 4 & 1 + 2 \end{matrix}]

$[\begin{array}{c} 5 & - 2 + 2 \\ 4 - 4 & 1 + 2 \end{array}]$

Step 2.2

Add

- 2

$- 2$ and

2

$2$ .

[\begin{matrix} 5 & 0 4 - 4 & 1 + 2 \end{matrix}]

$[\begin{array}{c} 5 & 0 \\ 4 - 4 & 1 + 2 \end{array}]$

Step 2.3

Subtract

4

$4$ from

4

$4$ .

[\begin{matrix} 5 & 0 0 & 1 + 2 \end{matrix}]

$[\begin{array}{c} 5 & 0 \\ 0 & 1 + 2 \end{array}]$

Step 2.4

Add

1

$1$ and

2

$2$ .

[\begin{matrix} 5 & 0 0 & 3 \end{matrix}]

$[\begin{array}{c} 5 & 0 \\ 0 & 3 \end{array}]$

[\begin{matrix} 5 & 0 0 & 3 \end{matrix}]

$[\begin{array}{c} 5 & 0 \\ 0 & 3 \end{array}]$