Solution Found!
These Jordan matrices have eigenvalues 0, 0, 0, 0. They have two eigenvectors (find
Chapter 5, Problem 5.6.38(choose chapter or problem)
These Jordan matrices have eigenvalues 0, 0, 0, 0. They have two eigenvectors (find them). But the block sizes dont match and J is not similar to K: J = 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 and K = 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 . For any matrix M, compare JM with MK. If they are equal, show that M is not invertible. Then M1 JM = K is impossible.
Questions & Answers
QUESTION:
These Jordan matrices have eigenvalues 0, 0, 0, 0. They have two eigenvectors (find them). But the block sizes dont match and J is not similar to K: J = 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 and K = 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 . For any matrix M, compare JM with MK. If they are equal, show that M is not invertible. Then M1 JM = K is impossible.
ANSWER:Step 1 of 3
Let 