Problem 1. For the following matrix A, (a) Find the characteristic polynomial of A. (b) Find the eigenvalues of A. (c) What are the algebraic and geometric multiplicities of each eigenvalue? (d) Find an Eigenbasis for A. [57 0 A = 64 0 00 11
Problem 1. For the following matrix A, (a) Find the characteristic polynomial of A. (b) Find the eigenvalues of A. (c) What are the algebraic and geometric multiplicities of each eigenvalue? (d) Find an Eigenbasis for A. [57 0 A = 64 0 00 11
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 36E
Question
please show steps to solve this problem for all parts
Transcribed Image Text:Problem 1. For the following matrix A,
(a) Find the characteristic polynomial of A.
(b) Find the eigenvalues of A.
(c) What are the algebraic and geometric multiplicities of each eigenvalue?
(d) Find an Eigenbasis for A.
[57 0
A = 64 0
00 11
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