Exercise 8.9.1 Find the algebraic and geometric multiplicity of each eigenvalue of the following matrices. Which of the matrices are diagonalizable? (c) C = 2 0 0 -1 4 −1 (a) A = - 1 2 1 3 [ -1 3 (d) D= (b) B = 3 1 -1 2 1 4 0-1 8 -4 5 (e) E= -2 -1 -2 -1 10
Exercise 8.9.1 Find the algebraic and geometric multiplicity of each eigenvalue of the following matrices. Which of the matrices are diagonalizable? (c) C = 2 0 0 -1 4 −1 (a) A = - 1 2 1 3 [ -1 3 (d) D= (b) B = 3 1 -1 2 1 4 0-1 8 -4 5 (e) E= -2 -1 -2 -1 10
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.1: Introduction To Eigenvalues And Eigenvectors
Problem 25EQ: In Exercises 23-26, use the method of Example 4.5 to find all of the eigenvalues of the matrix A....
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