Let [1 00000 A 0 20000 00 3000 000000 0 0 0 1 0 0 0000 10 (a) Find the characteristic polynomial of A and all eigenvalues of A. (b) What are the algebraic and geometric multiplicites of each eigenvalue. (Keep in mind the geometric multiplicity is always at least one and at most the algebraic multiplicity) (c) Is A diagonalizable?
Let [1 00000 A 0 20000 00 3000 000000 0 0 0 1 0 0 0000 10 (a) Find the characteristic polynomial of A and all eigenvalues of A. (b) What are the algebraic and geometric multiplicites of each eigenvalue. (Keep in mind the geometric multiplicity is always at least one and at most the algebraic multiplicity) (c) Is A diagonalizable?
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.3: Eigenvalues And Eigenvectors Of N X N Matrices
Problem 9EQ
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