Assume that X = 3 is an eigenvalue of an n x n matrix A. Which...

 

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Assume that X = 3 is an eigenvalue of an n x n matrix A. Which of the following is correct? (a) 31 – A is invertible; (b) The eigenvector of A corresponding to1 = 2 is zero; (c) 31 – A| = 0; (d) The rank of 31 – A is equal to n; (e) None of these - Assume that X = 3 is an eigenvalue of an n x n matrix A. Which of the following is correct? (a) 31 – A is invertible; (b) The eigenvector of A corresponding to1 = 2 is zero; (c) 31 – A| = 0; (d) The rank of 31 – A is equal to n; (e) None of these -