7. Give an example of each matrix of order 3x3 which has three values of different eigenvalues, two different eigenvalues and one eigenvalue. Could there be a matrix 3x3 which has four different eigenvalues? explain

Linear Algebra: A Modern Introduction
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Chapter4: Eigenvalues And Eigenvectors
Section4.3: Eigenvalues And Eigenvectors Of N X N Matrices
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7. Give an example of each matrix of order 3x3 which has three values
of different eigenvalues, two different eigenvalues and one eigenvalue.
Could there be a matrix 3x3 which has four different eigenvalues?
explain
Transcribed Image Text:7. Give an example of each matrix of order 3x3 which has three values of different eigenvalues, two different eigenvalues and one eigenvalue. Could there be a matrix 3x3 which has four different eigenvalues? explain
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