Answer: State (with a brief explanation) whether the following statements are true or

Chapter 3, Problem 35

(choose chapter or problem)

State (with a brief explanation) whether the following statements are true or false. (a) A 3 X 3 matrix can have four distinct eigenvalues. (b) An eigenvector cannot correspond to more than one eigenvalue. (c) The sum of two eigenvectors is an eigenvector. ( d) Two different matrices can have the same eigenvalues.

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