?The accompanying table shows a record of May and June unit sales for a clothing store

Chapter 1, Problem 34

(choose chapter or problem)

The accompanying table shows a record of May and June unit sales for a clothing store. Let \(M\) denote the \(4 \times 3\)  matrix of May sales and \(J\) the \(4 \times 3\) matrix of June sales.

a. What does the matrix \(M+J\) represent?

b. What does the matrix \(M-J\) represent?

c. Find a column vector x for which \(M x\)  provides a list of the number of shirts, jeans, suits, and raincoats sold in May.

d. Find a row vector y for which \(y M\) provides a list of the number of small, medium, and large items sold in May.

e. Using the matrices \(\mathrm{x} \text { and } \mathrm{y}\)  that you found in parts (c) and (d), what does \(\mathrm{y} M \mathrm{x}\)  represent?

Equation Transcription:

     

     

   

 

 

       

   

 

 

 

Text Transcription:

M    

4 x 3    

J  

4 x 3  

M + J

M - J      

Mx    

Mx  

yM  

x and y  

yMx