Suppose A is a 3x3 matrix that is not invertible and such that tr A = 0. Suppose further that all of the eigenvalues of A are real and that one of these eigenvalues is 2. (a) Find all of the eigenvalues of A, explaining your answer. (b) Write down the characteristic polynomial of A.
Suppose A is a 3x3 matrix that is not invertible and such that tr A = 0. Suppose further that all of the eigenvalues of A are real and that one of these eigenvalues is 2. (a) Find all of the eigenvalues of A, explaining your answer. (b) Write down the characteristic polynomial of A.
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 41EQ
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