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Find a 4 by 4 permutation matrix that requires three row exchanges to reach the end of

Chapter 1, Problem 1.5.16

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QUESTION:

Find a 4 by 4 permutation matrix that requires three row exchanges to reach the end of elimination (which is U = I).

Questions & Answers

QUESTION:

Find a 4 by 4 permutation matrix that requires three row exchanges to reach the end of elimination (which is U = I).

ANSWER:

Step 1 of 2

A permutation matrix is a matrix which consists of only a single 1 in each row and column and all other entries are 0.

Let us consider a permutation matrix

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