Question 2 Consider the matrix, (a) Using row reduction method try to find A-1 (b) For which values of a A-1, exists? A = 0 -1 1 -2 1 2 31 0 1 2 2 3 4 -10a] (b) Do you think it is possible to change any other numbers in the first three rows of A such that A always exists for all non-zero values of a? If no explain why? If yes make an example

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question 2
Consider the matrix,
(a) Using row reduction method try to find A-1
(b) For which values of a A-1,
exists?
A=
1 2 31
0 1 2
2 3 4
-2-10 a
0
-1
1
(b) Do you think it is possible to change any other numbers in the first three rows of A such that A always exists for all non-zero values of a? If no explain why? If yes make an
example
Transcribed Image Text:Question 2 Consider the matrix, (a) Using row reduction method try to find A-1 (b) For which values of a A-1, exists? A= 1 2 31 0 1 2 2 3 4 -2-10 a 0 -1 1 (b) Do you think it is possible to change any other numbers in the first three rows of A such that A always exists for all non-zero values of a? If no explain why? If yes make an example
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