Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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X= 

2 1 2 1
3 2 2 1
4 3 2 1

where the rows represent breakfast, lunch, and dinner, and the 
columns represent the number of exchanges for each of the four 
food groups at each meal;

Y=

5 0 7
0 10 1
0 15 2
10 12 8

where the rows represent the four food groups, and the columns 
represent the amount of fat, carbohydrates, and protein per 
exchange of each food group; and

Z=

8
4
5

where the rows represent fat, carbohydrates, and protein, and 
the column represents calories per exchange.


(a)  Find the product matrix XY. What do the entries of this matrix represent?


(b)  Find the product matrix YZ. What do the entries represent?


(c)  Find the products 1XY2Z and X1YZ2 and verify that they 
are equal. What do the entries represent

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