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$8$. The following matrix consists of a shoe store's inventory of sneakers, slippers and garden boots in sizes small, medium, and large:$\newline$\begin{tabular}{|l|l|l|l|}$\newline$\hline & Small & Medium & Large \\$\newline$\hline Sneakers & $20$ & $15$ & $10$ \\$\newline$\hline Slippers & $30$ & $25$ & $18$ \\$\newline$\hline Garden Boots & $15$ & $12$ & $8$ \\$\newline$\hline$\newline$\end{tabular}$\newline$(a) Form a $3 \times 3$ matrix to represent the information given above.$\newline$[$2$]$\newline$Sneakers sell for $\$ 150$; Slippers sell for $\$ 30$, and Garden Boots sell for $\$ 125$.$\newline$(b) Form a $1 \times 3$ matrix to represent this information.$\newline$(c) Use matrix multiplication to determine how much the inventory is worth.$\newline$[$4$]