(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 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.
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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