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Question

# Find the indicated matrices using a calculator.$A=\begin{bmatrix} 6 & -3 \\ 4 & -5 \end{bmatrix}$$B=\begin{bmatrix} 3 & 12 \\ -9 & -6 \end{bmatrix}$$C=\begin{bmatrix} -1 & 4 & -7 \\ 2 & -6 & 11 \end{bmatrix}$$D=\begin{bmatrix} 7 & 9 & -6 \\ -4 & 0 & 8 \end{bmatrix}$$A - B - 2C$

Solution

Verified
Step 1
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It is given that

\begin{aligned} A= \begin{bmatrix} 6&-3\\ 4&-5 \end{bmatrix}\\\\ B= \begin{bmatrix} 3&12\\ -9&-6 \end{bmatrix}\\\\ C= \begin{bmatrix} -1&4&-7\\ 2&-6&11 \end{bmatrix} \end{aligned}

As we can see, the number of rows are the same for matrices $A$ or $B$ and $C$, but the number of columns are not, so this subtraction has no solutions.

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