Question 2 [C] Consider the matrix, A = 0 -1 1 -2 1 3 0 12 2 3 4 -1 0 a 2 (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.

Question 2 [C] Consider the matrix, A = 0 -1 1 -2 1 3 0 12 2 3 4 -1 0 a 2 (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.

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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