Solved: Questions 22-24 are aboutthe factorizations PA = L U and A = LIP 1 U 1-

Question

Problem 22

Questions 22-24 are aboutthe factorizations PA = L U and A = LIP 1 U 1-

Answer 1

Step-by-Step Solution:

Step 1 of 3

M303 Section 5.3 Notes- Diagonalization 12-7-16  Recall diagonal matrix- only (possible) nonzero entries are on diagonal o Ex. Simple to compute powers 5 0 2 5 0 5 0 52 0  [0 3] = [0 3 0 3 ]= [ 2] 3 2 02 3 3  [5 0] = [5 0 ] [5 0]= [5 0 ][5 0]= [5 0 ] 0 3 0 3 0 3 0 3 2 0 3 0 33 5 0 5 0  [0 3] = [0 3] o Commute in multiplication  Not all matrices can be diagonal, but class of diagonalizable matrices exists that has many of same properties of diagonal matrices o × matrix diagonali

Chapter 2.7, Problem 22 is Solved

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Solution for problem 22 Chapter 2.7

Solved: Questions 22-24 are aboutthe factorizations PA = L U and A = LIP 1 U 1-

Chapter 2.7, Problem 22 is Solved