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(b) Write down a possible matrix A such that when we apply the above elementary matrices, we get an upper triangular matrix U i.e. PE32 E31 E21 A = U (c) Do we get the same if we change the position of P, i.e. E32 E31 E21 PA?

(b) Write down a possible matrix A such that when we apply the above elementary matrices, we get an upper triangular matrix U i.e. PE32 E31 E21 A = U (c) Do we get the same if we change the position of P, i.e. E32 E31 E21 PA?

Linear Algebra: A Modern Introduction
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 22EQ: Consider the matrix A=[2314]. Show that any of the three types of elementary row operations can be...
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(b) Write down a possible matrix A such that when we apply the above elementary matrices, we get an upper triangular matrix U i.e. PE32 E31 E21 A = U (c) Do we get the same if we change the position of P, i.e. E32 E31 E21 PA?
Transcribed Image Text:(b) Write down a possible matrix A such that when we apply the above elementary matrices, we get an upper triangular matrix U i.e. PE32 E31 E21 A = U (c) Do we get the same if we change the position of P, i.e. E32 E31 E21 PA?
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