Assume that N is a 2 x 2 matrix such that N² = 0. Prove that N is similar to one of the two following matrices or the matrix [88] B = [86] A

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.4: Similarity And Diagonalization
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Assume that N is a 2 x 2 matrix such that N² = 0. Prove that N is similar to one of
the two following matrices
or the matrix
A
=
= [88]
B =
01
[88].
Transcribed Image Text:Assume that N is a 2 x 2 matrix such that N² = 0. Prove that N is similar to one of the two following matrices or the matrix A = = [88] B = 01 [88].
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