If \(AB\) is defined, what are its dimensions?
$$A = \begin{bmatrix}1 & -3 & 6 \\ -4 & 8 & 2\end{bmatrix}\quad B = \begin{bmatrix}9 & -4 \\ -3 & 6 \\ 1 & 7\end{bmatrix}$$
\(2 \times 2\)
If \(BD\) is defined, what are its dimensions?
$$B = \begin{bmatrix}9 & -4 \\ -3 & 6 \\ 1 & 7\end{bmatrix}\quad D = \begin{bmatrix}-2 \\ 8 \\ 4 \\ 4\end{bmatrix}$$
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If \(CA\) is defined, what are its dimensions?
$$C = \begin{bmatrix}6 & 0 & 1 & 3 \\ 4 & -9 & 5 & 7\end{bmatrix}\quad A = \begin{bmatrix}1 & -3 & 6 \\ -4 & 8 & 2\end{bmatrix}$$
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Multiply: \(\begin{bmatrix}-2 & 3 & 1 \\ 0 & 5 & 2\end{bmatrix}\begin{bmatrix}1 & 5 \\ -2 & 2 \\ 0 & -1\end{bmatrix}\)
\(\begin{bmatrix}-8 & -5 \\ -10 & 8\end{bmatrix}\)
