For b [1Let A = |0 5 20 0 1a b(а)(i)Determine the condition of a and b so that A is diagonalisable.Let a = 2 and b=0. Find the Jordan canonical form for A.(ii)(b)Let f(t) = (t – 2)*(t + 1)² be the characteristic polynomial for a linear operatorT. Obtain all Jordan canonical forms for T.

Answered: Image /qna-images/answer/112d1d7e-8965-4f2d-a73e-9a3f6307572a.jpg

Answered: (b) Let f(t) = (t- 2)*(t +1)² be the…

(b) Let f(t) = (t- 2)*(t +1)² be the characteristic polynomial for a linear operator T. Obtain all Jordan canonical forms for T.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

Problem 70EQ

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Question

For b

[1
Let A = |0 5 2
0 0 1
a b
(а)
(i)
Determine the condition of a and b so that A is diagonalisable.
Let a = 2 and b=0. Find the Jordan canonical form for A.
(ii)
(b)
Let f(t) = (t – 2)*(t + 1)² be the characteristic polynomial for a linear operator
T. Obtain all Jordan canonical forms for T.

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