Question

How can these matrices be used to determine the total price of the glue bottles on the shelf and in the stockroom of these two stores?

Answer 1

Given:

$A=\begin{bmatrix}{1.5} & {2.5} & {6.5} \\ {2} & {3.5} & {8} \\ {\placeholder{⬚}} & {\placeholder{⬚}} & {\placeholder{⬚}}\end{bmatrix}$$B=\begin{bmatrix}{10} & {24} & {\placeholder{⬚}} \\ {18} & {48} & {\placeholder{⬚}} \\ {6} & {12} & {\placeholder{⬚}}\end{bmatrix}$

Here in A there are three sizes and in two stores in B there are also 3 available sizes

Required:

a. In product matrix, what is represented by row and column

b. Product matrix

Explanation:

b.

$A*B=\begin{bmatrix}{15+45+39} & {36+120+78} \\ {20+63+48} & {48+168+96}\end{bmatrix}=\begin{bmatrix}{99} & {234} \\ {131} & {312}\end{bmatrix}$

a.

Row represents the different stores and the column represents the size