2. Let A 0 1 0 0 0 1 2 -5 4. Is A diagonalisable? If so, find a basis for M2,1 (C) consisting of eigenvectors (x-1)²(x-2). of A. . You are given that the characteristic polynomial of A is cp₁(x) = =

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 28EQ
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You are given that the characteristic polynomial of A is cp₁(x)
2 -5 4.
(x − 1)²(x − 2). Is A diagonalisable? If so, find a basis for M2,1(C) consisting of eigenvectors
of A.
2. Let A =
0
1
=
Transcribed Image Text:0 1 0 0 You are given that the characteristic polynomial of A is cp₁(x) 2 -5 4. (x − 1)²(x − 2). Is A diagonalisable? If so, find a basis for M2,1(C) consisting of eigenvectors of A. 2. Let A = 0 1 =
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