Linear Algebra Examples

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

Step 1

Subtract the corresponding elements.

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

Step 2

Simplify each element.

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Step 2.1

Add $2$ and $3$ .

$[\begin{array}{c} 5 \\ - 6 - 2 \end{array}] + [\begin{array}{c} 6 \\ 0 \end{array}]$

Step 2.2

Subtract $2$ from $- 6$ .

$[\begin{array}{c} 5 \\ - 8 \end{array}] + [\begin{array}{c} 6 \\ 0 \end{array}]$

Step 3

Add the corresponding elements.

$[\begin{array}{c} 5 + 6 \\ - 8 + 0 \end{array}]$

Step 4

Simplify each element.

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Step 4.1

Add $5$ and $6$ .

$[\begin{array}{c} 11 \\ - 8 + 0 \end{array}]$

Step 4.2

Add $- 8$ and $0$ .

$[\begin{array}{c} 11 \\ - 8 \end{array}]$