Linear Algebra Examples

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

$A = [\begin{array}{c} 1 & 0 \\ 0 & 3 \end{array}]$ ,

B = [\begin{matrix} - 1 & - 7 2 & 0 \end{matrix}]

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

Step 1

Subtract the corresponding elements.

[\begin{matrix} 1 + 1 & 0 + 7 0 - 2 & 3 - 0 \end{matrix}]

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

Step 2

Simplify each element.

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Step 2.1

Add

1

$1$ and

1

$1$ .

[\begin{matrix} 2 & 0 + 7 0 - 2 & 3 - 0 \end{matrix}]

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

Step 2.2

Add

0

$0$ and

7

$7$ .

[\begin{matrix} 2 & 7 0 - 2 & 3 - 0 \end{matrix}]

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

Step 2.3

Subtract

2

$2$ from

0

$0$ .

[\begin{matrix} 2 & 7 - 2 & 3 - 0 \end{matrix}]

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

Step 2.4

Subtract

0

$0$ from

3

$3$ .

[\begin{matrix} 2 & 7 - 2 & 3 \end{matrix}]

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

[\begin{matrix} 2 & 7 - 2 & 3 \end{matrix}]

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

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