Linear Algebra Examples

$(\frac{3}{2}) [\begin{array}{c} - 5 \\ 1 \end{array}]$

Step 1

Multiply $\frac{3}{2}$ by each element of the matrix.

$[\begin{array}{c} \frac{3}{2} \cdot - 5 \\ \frac{3}{2} \cdot 1 \end{array}]$

Step 2

Simplify each element in the matrix.

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Step 2.1

Multiply $\frac{3}{2} \cdot - 5$ .

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Step 2.1.1

Combine $\frac{3}{2}$ and $- 5$ .

$[\begin{array}{c} \frac{3 \cdot - 5}{2} \\ \frac{3}{2} \cdot 1 \end{array}]$

Step 2.1.2

Multiply $3$ by $- 5$ .

$[\begin{array}{c} \frac{- 15}{2} \\ \frac{3}{2} \cdot 1 \end{array}]$

Step 2.2

Move the negative in front of the fraction.

$[\begin{array}{c} - \frac{15}{2} \\ \frac{3}{2} \cdot 1 \end{array}]$

Step 2.3

Multiply $\frac{3}{2}$ by $1$ .

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