uestion 25 uppose A is a 3x3 matrix with two distinct real eigenvalues a and b. No information is given about Mark all true statements. The third eigenvalue of A could be a complex (not real) number. If the dimension of the eigenspace associated with a is equal to 2, then A is diagonalizable. DA has a least two distinct eigenspaces. A could be non-diagonalizable. Question 26

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter4: Eigenvalues And Eigenvectors
Section4.3: Eigenvalues And Eigenvectors Of N X N Matrices
Problem 41EQ
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Question 25
Suppose A is a 3x3 matrix with two distinct real eigenvalues a and b. No information is given about a possible third eigenvalue.
Mark all true statements.
The third eigenvalue of A could be a complex (not real) number.
If the dimension of the eigenspace associated with a is equal to 2, then A is diagonalizable.
A has a least two distinct eigenspaces.
A could be non-diagonalizable.
Question 26
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Transcribed Image Text:O False Question 25 Suppose A is a 3x3 matrix with two distinct real eigenvalues a and b. No information is given about a possible third eigenvalue. Mark all true statements. The third eigenvalue of A could be a complex (not real) number. If the dimension of the eigenspace associated with a is equal to 2, then A is diagonalizable. A has a least two distinct eigenspaces. A could be non-diagonalizable. Question 26 LED HDMI 1080p ViewSom
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