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Chapter 11: Q. 83 (page 757)

College Tuition Nikki and Joe take classes at a community college, LCCC, and a local university, SIUE. The number of credit hours taken and the cost per credit hour (2009鈥�2010

academic year, tuition only) are as follows:

(a) Write a matrix A for the credit hours taken by each student and a matrix B for the cost per credit hour.

(b) Compute AB and interpret the results.

Short Answer

Expert verified

(a) A=69312andB=80277.80

(b)AB=2980.23573.6

Step by step solution

01

Step 1. Given information

Nikki and joe takes classes at LCCC 6and3with cost per credit hour $80.00

Nikki and joe takes classes at SIUE9and12with cost per credit hour$277.80

02

Step 2. (a) Write a matrix A for the credit hours taken by each student and a matrix B for the cost per credit hour.

Credit hours taken by each student can be written in the matrix form

A=69312

Cost per Credit hour can be written in the matrix form

B=80277.80

03

Step 3. (b) Compute AB and interpret the results.

We calculate the matrix ABby multiplaying the two matrices

AB=6931280277.80=6(80)+9(277.80)3(80)+12(277.80)=480+2500.2240+3333.6=2980.23573.6

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