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Chapter 4: Q32. (page 165)

For exercises 30-32, use the following information. The Cookie Cutter Bakery records each type of cookie sold at three of their branch stores. Two days of sales are shown in the spreadsheets below.

32. Find the difference in cookie sales from Friday to Saturday expressed as a matrix.

Short Answer

Expert verified

The sum of the two days’ sales expressed as a matrix is

81081−4−6−3−10−16−14−14−12.

Step by step solution

01

- Define concept of matrix subtraction

If A and B are two matrices of order m×n, then the subtraction of the two matrices will also yield a matrix of order m×n wherein each element is the difference of the corresponding elements.

02

- Subtract corresponding elements

The data in the table is organized in two matrices A and B. Subtract corresponding elements of both the matrices so as to find the difference in cookie sales of two day’s sales.

A−B=1209764758059366072842948−1128756748465397088984360=120−11297−8764−5675−7480−8459−6536−3960−7072−8884−9829−4348−60

03

- Simplify the matrix

Further simplify the matrix.

A−B=120−11297−8764−5675−7480−8459−6536−3960−7072−8884−9829−4348−60=81081−4−6−3−10−16−14−14−12

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