(a) Using row reduction method try to find A-¹.

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 -
J
Consider the matrix,
A =
0
-1
1
-2
-
1
2 3
0
12
2
3 4
-1 0 a
(a) Using row reduction method try to find
A-¹.
(b) For which values of a A-¹ exists?
(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 - J Consider the matrix, A = 0 -1 1 -2 - 1 2 3 0 12 2 3 4 -1 0 a (a) Using row reduction method try to find A-¹. (b) For which values of a A-¹ exists? (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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