Linear Algebra Examples

$[\begin{array}{c} - 3 \\ - 3 \end{array}] - 2 [\begin{array}{c} 6 \\ 1 \end{array}]$

Step 1

Simplify each term.

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Step 1.1

Multiply $- 2$ by each element of the matrix.

$[\begin{array}{c} - 3 \\ - 3 \end{array}] + [\begin{array}{c} - 2 \cdot 6 \\ - 2 \cdot 1 \end{array}]$

Step 1.2

Simplify each element in the matrix.

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Step 1.2.1

Multiply $- 2$ by $6$ .

$[\begin{array}{c} - 3 \\ - 3 \end{array}] + [\begin{array}{c} - 12 \\ - 2 \cdot 1 \end{array}]$

Step 1.2.2

Multiply $- 2$ by $1$ .

$[\begin{array}{c} - 3 \\ - 3 \end{array}] + [\begin{array}{c} - 12 \\ - 2 \end{array}]$

Step 2

Add the corresponding elements.

$[\begin{array}{c} - 3 - 12 \\ - 3 - 2 \end{array}]$

Step 3

Simplify each element.

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Step 3.1

Subtract $12$ from $- 3$ .

$[\begin{array}{c} - 15 \\ - 3 - 2 \end{array}]$

Step 3.2

Subtract $2$ from $- 3$ .

$[\begin{array}{c} - 15 \\ - 5 \end{array}]$