2. Without using Sage, find• the characteristic polynomial• the eigenvalues (include the multiplicity of each)• bases for the eigenspaces (indicate the dimension of the eigenspaces)of the following matrices:[30(a) B=(b) C:=4(c) D = -2 10 (Once you've found the characteristic polynomial, you may find-20its factorization by using Sage.For example, to factor x²-3x+2 in Sage:f = x^2-3*x+2f.factor())

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2. Without using Sage, find • the characteristic polynomial the eigenvalues (include the multiplicity of each) bases for the eigenspaces (indicate the dimension of the eigenspaces) of the following matrices: (a) B= (b) C = 10 (c) D= -2 10 (Once you've found the characteristic polynomial, you may find -201 its factorization by using Sage.

2. Without using Sage, find • the characteristic polynomial the eigenvalues (include the multiplicity of each) bases for the eigenspaces (indicate the dimension of the eigenspaces) of the following matrices: (a) B= (b) C = 10 (c) D= -2 10 (Once you've found the characteristic polynomial, you may find -201 its factorization by using Sage.

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 38EQ

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