Consider the matrix, A = 1 2 3 0 1 1 2 0 -1 -2 24 34 -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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 29E
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Question 2 -
1
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 - 1 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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