[1 a b Let A = 0 5 2 0 0 1 (а) (i) Determine the condition of a and b so that A is diagonalisable. (ii) Let a = 2 and b 0. Find the Jordan canonical form for A. (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.
[1 a b Let A = 0 5 2 0 0 1 (а) (i) Determine the condition of a and b so that A is diagonalisable. (ii) Let a = 2 and b 0. Find the Jordan canonical form for A. (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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