Exercise 1.2.6

Question

At the end of May, a furniture store had the following inventory.
Record these data as a $3 	imes 4$ matrix $M$. To prepare for its June sale, the store decided to double its inventory on each of the items listed in the preceding table. Assuming that none of the present stock is sold until the additional furniture arrives, verify that the inventory on hand after the order is filled is described by the matrix $2 M$. If the inventory at the end of June is described by the matrix
$$
A=\left(\begin{array}{llll}
5 & 3 & 1 & 2 \
6 & 2 & 1 & 5 \
1 & 0 & 3 & 3
\end{array}ight)
$$
interpret $2 M-A$. How many suites were sold during the June sale?

Jephian C.-H. Lin · Accepted Answer

$$M=\left(\begin{array}{cccc}4&2&1&3\5&1&1&4\3&1&2&6\end{array}ight).$$
Since all the entries have been doubled, we have $2M$ can describe the inventory in June. Next, the matrix $2M-A$ can describe the list of sold items. And the number of total sold items is the sum of all entries of $2M-A$. It equals $24$.

Exercise 1.2.6

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Exercise 1.2.6

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