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True/False and multiple choice only requires answers and no process Select the true statements If Av = Av for some vector v then A is

  • True/False and multiple choice only requires answers and no process
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Select the true statements If Av = Av for some vector v then A is an eigenvalue. If Av = Av for some non-zero vector v then A is an eigenvalue. If v is an eigenvector of a matrix, then there is a unique eigenvalue of the matrix that corresponds to v. An eigenspace of a square matrix can have dimension 0. If v is an eigenvector of the matrix A, then cv is also an eigenvector for any scalar c. [True/False) If A and B are any n X n matrices with A an eigenvalue of both A and B, then A is also an eigenvalue of A + B. O False O True(True/False) If A and B are any n x n matrices and v is an eigenvector of both A and B, then V is an eigenvector of A + B. O False O True(True/False) If A and B are any n x n matrices with ) an eigenvalue of both A and B, then is also an eigenvalue of AB. O False O True(True/False) If A and B are any n X n matrices and v is an eigenvector of both A and B, then v is an eigenvector of AB. O False O True

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