Is lambda = -3 an eigenvalue of A = [-1 4 6 9]? Why or why not? Choose the corre

Question

Is lambda = -3 an eigenvalue of A = [-1 4 6 9]? Why or why not? Choose the correct answer below. A. No lambda is not an eigenvalue of A because Ax = lambda x only has the travel solution B. No, lambda is not an eigenvalue of A because Ax = lambda x has a solution Yes lambda is an of A because lambda Ax = 0 only has the trivial solution D. Yes, lambda is an eigenvalue of A because (A - lambda) is invertible E. Yes, lambda is an eigenvalue of A because Ax = lambda x has a solution F. No, lambda is not an eigenvalue of A because lambda Ax = 0 only has the solution.

Explanation / Answer

-3 is a eigenvalue of the given matrix

A×E=O

So we have a homogeneous system

option E

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