Simplify the Matrix 1/3[[27,-9],[-15,24]]

$\frac{1}{3} [\begin{array}{c} 27 & - 9 \\ - 15 & 24 \end{array}]$

Step 1

Substitute in each matrix definition.

$\frac{1}{3} \cdot [\begin{array}{c} 27 & - 9 \\ - 15 & 24 \end{array}]$

Step 2

Multiply $\frac{1}{3}$ by each element of the matrix.

$[\begin{array}{c} \frac{1}{3} \cdot 27 & \frac{1}{3} \cdot - 9 \\ \frac{1}{3} \cdot - 15 & \frac{1}{3} \cdot 24 \end{array}]$

Step 3

Simplify each element in the matrix.

Rearrange $\frac{1}{3} \cdot 27$ .

$[\begin{array}{c} 9 & \frac{1}{3} \cdot - 9 \\ \frac{1}{3} \cdot - 15 & \frac{1}{3} \cdot 24 \end{array}]$

Rearrange $\frac{1}{3} \cdot - 9$ .

$[\begin{array}{c} 9 & - 3 \\ \frac{1}{3} \cdot - 15 & \frac{1}{3} \cdot 24 \end{array}]$

Rearrange $\frac{1}{3} \cdot - 15$ .

$[\begin{array}{c} 9 & - 3 \\ - 5 & \frac{1}{3} \cdot 24 \end{array}]$

Rearrange $\frac{1}{3} \cdot 24$ .

$[\begin{array}{c} 9 & - 3 \\ - 5 & 8 \end{array}]$