Answer to Question #188265 in Linear Algebra for Zoha Faisal

Question

The cat food is sold in tins containing 500 g.

Write down the matrix M such that the product XM will show, for each brand,

the total cost, in cents, of buying ten tins at both stores during May.

Answer 1

$X=\begin{bmatrix}9.4&9.6\\10.2&10.4\\11.4&11.0\end{bmatrix}$ , $Y=\begin{bmatrix}9.8&10.0\\10.2&10.2\\12.0&12.0\end{bmatrix}$

They represent the difference in price between May and June in each store for the 3 different brands.

Total cost for each brand $=\dfrac{500}{10}=50$

Product XM is-

$XM=\begin{bmatrix}9.4&9.6\\10.2&10.4\\11.4&11.0\end{bmatrix}\begin{bmatrix}50\\50\end{bmatrix}$

Ten The Matrix $M=\begin{bmatrix}50\\50\end{bmatrix}$