Chapter 11.CR, Problem 65E

### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

Chapter
Section

### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

# Buying Vegetables: Magda and Ivan grow tomatoes, onions, and zucchini in their backyard and dell them at a roadside stand on Saturdays and Sundays. They price tomatoes at $1.50 per pound, onions at$1.00 per pound, and zucchini at 50 cents per pound. The following table shows the number of pounds of each type of produce that they sold during the last weekend in July. Tomatoes Onions Zucchini Saturday 25 16 30 Sunday 14 12 16 ( a ) Let A = [ 25 16 30 14 12 16 ] and B = [ 1.50 1.00 0.50 ] Compare these matrices to the given data in the problem, and describe what their entries represent. ( b ) Only one of the products A B and B A is defined. Calculate the product that is defined, and describe what its entries represent.

To determine

(a)

To find:

The data these matrices A=[251630141216] and B=[1.501.000.50] represents.

Explanation

Calculation:

The first row of the matrix A represents the number of pounds tomatoes, onion, and zucchini sold on Saturday of last weekend in July respectively, and The second row the represents the number of pounds tomatoes, onion, and zucchini sold on Sunday of the same weekend respectively. The data can be compared with the given table as well.

 Tomatoes Onions Zucchini Saturday 25 16 30 Sunday 14 12 16

The matrix B=[1.501.000.50] represents prices per pound of tomatoes, onion, and zucchini, respectively

To determine

(b)

To find:

The product AB or BA, whichever is defined and what does the product represents.

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