- #1
Jadehaan
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1. Given two 4x4 matrices, A and B, I must determine if they are similar.
A=[(2,0,0,0) B=[(5,0,-4,-7)
(-4,-1,-4,0) (3,-8,15,-13)
(2,1,3,0) (2,-4,7,-7)
(-2,4,9,1)] (1,2,-5,1)]
2. A and B are similar if, A=P^(-1)BP
3. I found the eigenvalues to be 1,1,1,2 for both matrices. I also calculated their eigenvectors and eigenspaces. I am stumped as how to show that the two are similar. I know similar matrices have the same eigenvalues, but I don't think that is enough to prove similarity.
Thanks for any help,
James
A=[(2,0,0,0) B=[(5,0,-4,-7)
(-4,-1,-4,0) (3,-8,15,-13)
(2,1,3,0) (2,-4,7,-7)
(-2,4,9,1)] (1,2,-5,1)]
2. A and B are similar if, A=P^(-1)BP
3. I found the eigenvalues to be 1,1,1,2 for both matrices. I also calculated their eigenvectors and eigenspaces. I am stumped as how to show that the two are similar. I know similar matrices have the same eigenvalues, but I don't think that is enough to prove similarity.
Thanks for any help,
James