8. a) b) 10-1 Consider the matrix A - 021 -14 2 Determine the inverse of matrix A. Use the inverse method to solve the system Az - with 5-

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter7: Systems Of Equations And Inequalities
Section7.7: Solving Systems With Inverses
Problem 5SE: Can a matrix with zeros on the diagonal have an inverse? If so, find an example. If not, prove why...
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Question
2i
T
8.
Consider the matrix A =
1 0
021
1 4 2
2]
a)
Determine the inverse of matrix A.
b)
Use the inverse method to solve the system Az-5 with 5-
A
2
9.
Determine the inverse matrix of the following matrices. If it is not possible, explai
Transcribed Image Text:2i T 8. Consider the matrix A = 1 0 021 1 4 2 2] a) Determine the inverse of matrix A. b) Use the inverse method to solve the system Az-5 with 5- A 2 9. Determine the inverse matrix of the following matrices. If it is not possible, explai
3.
a)
4.
Consider the system
k-2 4
0
0
0
Find the value(s) of k such that the system has
only one solution.
b)
no solution.
Consider matrices
2
1
02 1
542
1 -1 4
210
B
k-2
6
3
2
k²+kk
1.0.².
c) infinitely many solutions.
0
62
2 -1
4 10
D
-1 2 4
-18
Transcribed Image Text:3. a) 4. Consider the system k-2 4 0 0 0 Find the value(s) of k such that the system has only one solution. b) no solution. Consider matrices 2 1 02 1 542 1 -1 4 210 B k-2 6 3 2 k²+kk 1.0.². c) infinitely many solutions. 0 62 2 -1 4 10 D -1 2 4 -18
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