3 Questions
If A = P^{-1}BP, then what can be concluded about the eigenvalues of A and B?
A and B have the same eigenvalues
If λ is an eigenvalue of A, what can be said about λ as an eigenvalue of B?
λ is also an eigenvalue of B
What role does P~x play in the given proof?
Eigenvector
This quiz tests understanding of the relationship between eigenvalues of matrices A and B when A = P^-1BP. It covers the concept of eigenvectors and eigenvalues, and how they are related under the given transformation.
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