Question

multiply \\(\

$$\begin{bmatrix} -1 & -2 & 3 \\\\ 6 & 5 & 1 \\end{bmatrix}$$

\

$$\begin{bmatrix} 0 & 2 \\\\ 5 & -2 \\\\ 0 & 7 \\end{bmatrix}$$

\\) if possible.

if not possible, enter dne.

Explanation:

Check matrix dimensions

Using the Matrix Dimensions knowledge point

$$
LATEXBLOCK0
$$

Since the number of columns of \(A\) (3) equals the number of rows of \(B\) (3), multiplication is possible, yielding a \(2 \times 2\) matrix.

Compute the product matrix

Using the Matrix Multiplication knowledge point

$$
LATEXBLOCK1
$$

Write the final product

Using the Matrix Multiplication knowledge point

$$ AB =
LATEXBLOCK2
$$

Answer:

Multiply \(

$$\begin{bmatrix}-1 & -2 & 3 \\ 6 & 5 & 1\end{bmatrix}$$

$$\begin{bmatrix}0 & 2 \\ 5 & -2 \\ 0 & 7\end{bmatrix}$$

\) if possible.

If not possible, enter DNE.

<blank>\(

$$\begin{bmatrix} -10 & 23 \\ 25 & 9 \end{bmatrix}$$

\)</blank>