(b) Do you think it is possible to change any other numbers in the first three rows of A such that A-¹ always exists for all non-zero values of a? If no explain why? If yes make an example.
(b) Do you think it is possible to change any other numbers in the first three rows of A such that A-¹ always exists for all non-zero values of a? If no explain why? If yes make an example.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 3CEXP
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Question
![Question 2 [S
Consider the matrix,
A =
(a) Using row reduction method try to find A-¹.
(b) For which values of a A-¹ exists?
0
-1
-2
1024
2
1
3
-1 0
324
a
(b) Do you think it is possible to change any other numbers in the first three rows of A such that A¹ always
exists for all non-zero values of a? If no explain why? If yes make an example.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F03d89e44-9358-4000-9f9c-959a44a167df%2Ff079d30c-dad4-4a39-9992-f42712bebede%2Fzvvker_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question 2 [S
Consider the matrix,
A =
(a) Using row reduction method try to find A-¹.
(b) For which values of a A-¹ exists?
0
-1
-2
1024
2
1
3
-1 0
324
a
(b) Do you think it is possible to change any other numbers in the first three rows of A such that A¹ always
exists for all non-zero values of a? If no explain why? If yes make an example.
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