1. (a) You are given the following matrices: 1 -1 3 2 0 8 and C = -1 A В 6 9 -3 4 4 -5 For each of the expressions below determine whether the calcula- tion is possible. If it is possible, perform the calculation. If it is not, state your reason. (i) ВА (ii) АС (iii) В — 2С

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.3: Matrix Algebra
Problem 33E
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1. (a) You are given the following matrices:
1
-1 3
2 0
8
and C =
-1
A
В
6 9
-3 4
4 -5
For each of the expressions below determine whether the calcula-
tion is possible. If it is possible, perform the calculation. If it is
not, state your reason.
(i) ВА
(b) Given the following system of equations:
(ii)
AC
(i) В — 2С
x + 2y
4
3x + 2y
0.
Write the system in matrix form
Ax = b,
then find the inverse of the matrix A, and so solve the system for
x and y. (Check your answer).
Transcribed Image Text:1. (a) You are given the following matrices: 1 -1 3 2 0 8 and C = -1 A В 6 9 -3 4 4 -5 For each of the expressions below determine whether the calcula- tion is possible. If it is possible, perform the calculation. If it is not, state your reason. (i) ВА (b) Given the following system of equations: (ii) AC (i) В — 2С x + 2y 4 3x + 2y 0. Write the system in matrix form Ax = b, then find the inverse of the matrix A, and so solve the system for x and y. (Check your answer).
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