Recent content by zjohnson19

Homework Statement True or False? If A is an n × n matrix, P is an n × n invertible matrix, and B = P −1AP, then a11 + a22 + . . . + ann = b11 + b22 + . . . + bn Homework Equations Diagnolization, similar matrixes The Attempt at a Solution the question is asking if the summation of the main...

I've tried to diagnolize the matrix and I found an P and A that work(since AP = PD). I got p from the bases of the eigenspaces. p = 00-1 10 0 01 1 I chose D to be the eigenvalues in the diagnol positions corresponding with its bases in p D= 100 010 000 AP=PD so this step should be fine. I...

My bad, I had that copied down wrong(I edited it now to fix it). I had v2 as (0 0 1), not (0 0 0). So a basis for the eigenspace corresponding to lambda = 0 would be [0] [ 0] |1| , | 0| [0] [ 1] one eigenvector would be [0] |1| [1]

Homework Statement A = 000 010 101 Find Eigenvalues, its corresponding eigenvectors, and find a matrix W such that W^t*AW = D, where D is a diagnol matrix.(note that W^t represents the transpose of W) Homework Equations Eigenvalues, Eigenvectors, diagnolization[/B]The Attempt at a...