Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Consider the matrix A [10000 2] 0 1 0 0 20 00 1 200 0021 00 0 2 0 0 1 0 20000 1 2.a You are told that A = -1 and A = 3 are eigenvalues of A. Find their geometric multiplicities. Does A have any other eigenvalues? 2.b Find an orthogonal matrix Q and a diagonal matrix D such that A = QDQ™. 2.c Find A6e₁.

Consider the matrix A [10000 2] 0 1 0 0 20 00 1 200 0021 00 0 2 0 0 1 0 20000 1 2.a You are told that A = -1 and A = 3 are eigenvalues of A. Find their geometric multiplicities. Does A have any other eigenvalues? 2.b Find an orthogonal matrix Q and a diagonal matrix D such that A = QDQ™. 2.c Find A6e₁.

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CR: Review Exercises
Problem 15CR: For what values of a does the matrix A=[01a1] have the characteristics below? a A has eigenvalue of...
See similar textbooks
icon
Related questions
Question
Consider the matrix A = [1 000 02 0 1 0 0 20 0 0 1 2 0 0 002100 020010 20000 1 2.a You are told that X = -1 and λ = 3 are eigenvalues of A. Find their geometric multiplicities. Does A have any other eigenvalues? 2.b Find an orthogonal matrix Q and a diagonal matrix D such that A = QDQ™. 2.c Find A6e₁.
Transcribed Image Text:Consider the matrix A = [1 000 02 0 1 0 0 20 0 0 1 2 0 0 002100 020010 20000 1 2.a You are told that X = -1 and λ = 3 are eigenvalues of A. Find their geometric multiplicities. Does A have any other eigenvalues? 2.b Find an orthogonal matrix Q and a diagonal matrix D such that A = QDQ™. 2.c Find A6e₁.
Expert Solution
steps

Step by step

Solved in 7 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer