tut6 - B have the same trace. 4: For the matrix A =...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Math 235 Tutorial 6 Problems 1: Find the orthogonal matrix P that diagonalizes A and the corresponding diagonal matrix for A = 3 - 2 4 - 2 6 2 4 2 3 . 2: Suppose that A and B are orthogonally diagonalizable and AB = BA . Prove that AB is also orthogonally diagonalizable. 3: Let A and B be similar matrices. Prove that a) A and B have the same determinant. b) A and B have the same eigenvalues. c) A and
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: B have the same trace. 4: For the matrix A = -7-2-3-5 5-1 1 2-5-5 6 4 2 7-10-4-4-5 10 10-6-2-3-5 7 2 6 2 3 5-5 ,-1 is an eigenvalue with multiplicity three, and 2 is an eigenvalue with multiplicity two. Determine det A . 1...
View Full Document

Ask a homework question - tutors are online