MA [ ;] and [ ; ; ] B 37 a Calculate AB by hand and verify your answer using a CAS/calculator. b Calculate BA by hand and verify your answer using a CAS/calculator. c What do you notice about the two products? Example 16 Let A = 5 26

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter3: Matrices
Section3.1: Matrix Operations
Problem 20EQ: Referring to Exercise 19, suppose that the unit cost of distributing the products to stores is the...
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Question
· 14₁A = [ ² ] and # = [ ; ; }
B=
26
37
a Calculate AB by hand and verify your answer using a CAS/calculator.
b Calculate BA by hand and verify your answer using a CAS/calculator.
с What do you notice about the two products?
Example 16 Let A =
Example 17
In Australian rules football a goal is worth 6 points and a behind is worth 1 point. The following is a typical
scoreboard.
A.
B.
C.
So as to complete the above table, to find the points the correct matrix equation is
-[
D.
E.
Team
Drovers
Hawkers
6][6]
Drovers' points
[132][6]-[Hawkers points
Drovers' points
Hawkers' points]
-
Drovers' points
Hawkers' points
Goals
12
6
Drovers'
[12 15][6]=[Hawkers" points]
[1315][:]-[Hawkers' points]
23
Drovers'
Behinds
15
23
Points
10 | Page
Transcribed Image Text:· 14₁A = [ ² ] and # = [ ; ; } B= 26 37 a Calculate AB by hand and verify your answer using a CAS/calculator. b Calculate BA by hand and verify your answer using a CAS/calculator. с What do you notice about the two products? Example 16 Let A = Example 17 In Australian rules football a goal is worth 6 points and a behind is worth 1 point. The following is a typical scoreboard. A. B. C. So as to complete the above table, to find the points the correct matrix equation is -[ D. E. Team Drovers Hawkers 6][6] Drovers' points [132][6]-[Hawkers points Drovers' points Hawkers' points] - Drovers' points Hawkers' points Goals 12 6 Drovers' [12 15][6]=[Hawkers" points] [1315][:]-[Hawkers' points] 23 Drovers' Behinds 15 23 Points 10 | Page
Example 18 For the above example, work out the total points scored by both teams. Who won, and by how much?
Example 19
E gives the energy in kilojoules consumed per minute when walking and running.
ED
25
40
walk
run
T gives the times, in minutes, a person spent walking and running in a training session.
40]
TO 20
walk run
Calculate TE and state the meaning of this matrix.
11 | Page
Transcribed Image Text:Example 18 For the above example, work out the total points scored by both teams. Who won, and by how much? Example 19 E gives the energy in kilojoules consumed per minute when walking and running. ED 25 40 walk run T gives the times, in minutes, a person spent walking and running in a training session. 40] TO 20 walk run Calculate TE and state the meaning of this matrix. 11 | Page
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