CPM Homework Help : PC3 Problem 9-55

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9-55.

Now practice using a calculator to compute matrix products. Use matrices $B$ and $E$ from problems 9-27 and 9-28, shown at right.

Calculator OK

Enter $E$ and $B$ into a graphing calculator.
Which product, $EB$ or $BE$ , should be computed to make sense in this situation. Use a calculator to compute this product. What does this product represent?
Hint (b):
Multiplying a $3 \times 2$ matrix by a $2 \times 4$ matrix results in a $3 \times 4$ matrix.
Therefore, which of the following products makes sense and what is the result?

employees $\times$ bouquet styles by bouquet styles $\times$ flowers

bouquet styles $\times$ flowers by employees $\times$ bouquet styles

$\boldsymbol E$	Bouquet Styles
Employees	A B C	#1 #2 #3 $\begin{bmatrix} {6} & { 4 } & { 7} \\ { 4 } & { 8 } & { 5 }\\ { 5 } & { 6 } & { 6 } \end{bmatrix}$

$\boldsymbol B$	Flowers
Bouquet Styles	A B C	L R D $\begin{bmatrix} {5} & { 4 } & { 3} \\ { 4 } & { 3 } & { 3 }\\ { 4 } & { 6 } & { 6 } \end{bmatrix}$

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