Consider the matrix A. 3 0 A = 1 2 -6 7 -1 Find the characteristic polynomial for the matrix A. (Write your answer in terms of 2.) Find the real eigenvalues for the matrix A. (Enter your answers as a comma-separated list.) Find a basis for each eigenspace for the matrix A. (smallest eigenvalue)

Consider the matrix A. 3 0 A = 1 2 -6 7 -1 Find the characteristic polynomial for the matrix A. (Write your answer in terms of 2.) Find the real eigenvalues for the matrix A. (Enter your answers as a comma-separated list.) Find a basis for each eigenspace for the matrix A. (smallest eigenvalue)

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 36EQ: Consider again the matrix A in Exercise 35. Give conditions on a, b, c, and d such that A has two...

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Question

Consider the matrix A.
3 0
A =
1 2
-6 7 -1
Find the characteristic polynomial for the matrix A. (Write your answer in terms of 2.)
Find the real eigenvalues for the matrix A. (Enter your answers as a comma-separated list.)
Find a basis for each eigenspace for the matrix A.
(smallest eigenvalue)

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