37. For the matrices defined below demonstrate that (A x B) (F x G) = (AF) ...

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37. For the matrices defined below demonstrate that (A x B) (F x G) = (AF) × (BG).

A =

$$

\begin{bmatrix}

2 & 1 \\

1 & 3

\end{bmatrix}

$$

; B =

$$

\begin{bmatrix}

1 & 3 & -2 \\

2 & 0 & -1

\end{bmatrix}

$$

; F =

$$

\begin{bmatrix}

3 \\

1

\end{bmatrix}

$$

; G =

$$

\begin{bmatrix}

4 \\

-1 \\

0

\end{bmatrix}

$$

.

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