Solution Found!
(a) Find the inverses of the permutation matrices P = 0 0 1 0 1 0 1 0 0 and P = 0 0 1 1
Chapter 1, Problem 1.6.2(choose chapter or problem)
(a) Find the inverses of the permutation matrices P = 0 0 1 0 1 0 1 0 0 and P = 0 0 1 1 0 0 0 1 0 . (b) Explain for permutations why P 1 is always the same as PT . Show that the 1s are in the right places to give PPT = I.
Questions & Answers
QUESTION:
(a) Find the inverses of the permutation matrices P = 0 0 1 0 1 0 1 0 0 and P = 0 0 1 1 0 0 0 1 0 . (b) Explain for permutations why P 1 is always the same as PT . Show that the 1s are in the right places to give PPT = I.
ANSWER:Step 1 of 4
Consider the matrix as,
Use elementary operations as follows.
Apply ,
It follows that,