Perform the indicated matrix operation. If the matrix doesn’t exist, write impossible.

23. $5 [\begin{matrix} \frac{1}{2} & 0 & 1 \\ 2 & \frac{1}{3} & - 1 \end{matrix}] + 4 [\begin{matrix} - 2 & \frac{3}{4} & 1 \\ \frac{1}{6} & 0 & \frac{5}{8} \end{matrix}]$

Question

Perform the indicated matrix operation. If the matrix doesn’t exist, write impossible.

23. $5 [\begin{matrix} \frac{1}{2} & 0 & 1 \\ 2 & \frac{1}{3} & - 1 \end{matrix}] + 4 [\begin{matrix} - 2 & \frac{3}{4} & 1 \\ \frac{1}{6} & 0 & \frac{5}{8} \end{matrix}]$

Accepted Answer

The final matrix after performing the indicated matrix operations is

$5 [\begin{matrix} \frac{1}{2} & 0 & 1 \\ 2 & \frac{1}{3} & - 1 \end{matrix}] + 4 [\begin{matrix} - 2 & \frac{3}{4} & 1 \\ \frac{1}{6} & 0 & \frac{5}{8} \end{matrix}] = [\begin{matrix} \frac{- 11}{2} & 3 & 9 \\ \frac{32}{3} & \frac{5}{3} & - \frac{5}{2} \end{matrix}]$ .

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Algebra 2

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Short Answer

Perform the indicated matrix operation. If the matrix doesn’t exist, write impossible.

23. $5 [\begin{matrix} \frac{1}{2} & 0 & 1 \\ 2 & \frac{1}{3} & - 1 \end{matrix}] + 4 [\begin{matrix} - 2 & \frac{3}{4} & 1 \\ \frac{1}{6} & 0 & \frac{5}{8} \end{matrix}]$

Step by Step Solution

Step 1 - Define the concept used

Step 2 - Perform the scalar multiplication first

Step 3 - Add corresponding elements

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Algebra 2

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Short Answer

Perform the indicated matrix operation. If the matrix doesn’t exist, write impossible. 23. 51201213−1+4−234116058

Step by Step Solution

Step 1 - Define the concept used

Step 2 - Perform the scalar multiplication first

Step 3 - Add corresponding elements

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Perform the indicated matrix operation. If the matrix doesn’t exist, write impossible.

23. $5 [\begin{matrix} \frac{1}{2} & 0 & 1 \\ 2 & \frac{1}{3} & - 1 \end{matrix}] + 4 [\begin{matrix} - 2 & \frac{3}{4} & 1 \\ \frac{1}{6} & 0 & \frac{5}{8} \end{matrix}]$