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Eigenvalues and Eigenvectors Transformation Quiz

3 Questions

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Eigenvalues and Eigenvectors Transformation Quiz

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Questions and Answers

If A = P^{-1}BP, then what can be concluded about the eigenvalues of A and B?

A has more eigenvalues than B

A and B have the same eigenvalues (correct)

A and B have different eigenvalues

B has more eigenvalues than A

If λ is an eigenvalue of A, what can be said about λ as an eigenvalue of B?

λ is not an eigenvalue of B

There is not enough information to determine the relationship between λ as eigenvalues of A and B

λ is also an eigenvalue of B (correct)

λ may or may not be an eigenvalue of B

What role does P~x play in the given proof?

Scalar multiple

Identity matrix

Zero vector

Eigenvector (correct)

Eigenvalues and Eigenvectors Transformation Quiz

Choose a study mode

Podcast

Questions and Answers

If A = P^{-1}BP, then what can be concluded about the eigenvalues of A and B?

If λ is an eigenvalue of A, what can be said about λ as an eigenvalue of B?

What role does P~x play in the given proof?

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