- #1

shiri

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Let A and B be nxn matrices, where B is invertible. Suppose that 4 is an eigenvalue of A, and 5 is an eigenvalue of B. Find ALL true statements.

A) 4 is an eigenvalue of A^T

B) 4 is an eigenvalue of (B^−1)AB

C) 265 is an eigenvalue of (A^4)+A+5I

D) 8 is an eigenvalue of A+(A^T)

E) 20 is an eigenvalue of AB

F) None of the above

I choose:

A)

B)

am I right?

A) 4 is an eigenvalue of A^T

B) 4 is an eigenvalue of (B^−1)AB

C) 265 is an eigenvalue of (A^4)+A+5I

D) 8 is an eigenvalue of A+(A^T)

E) 20 is an eigenvalue of AB

F) None of the above

I choose:

A)

B)

am I right?

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