Question 10 Suppose A = 2 0 7 2 3 1 4 1 0 Which of the following are the eigenvectors of A? (a) [1 0 0] (b) [0 1 0] (c) [0 0 1] (d) [1 1 1] Please check ALL the answers you think are correct. Question 11 Suppose A is not diagonalizable. If the characteristic equation of A is: λ^3 + 2λ^2 - 3 = 0 then dim Nul(A) = dim Nul(A - I3) =
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The matrix A is given as: A = 2 0 7 2 3 1 4 1 0 Show more…
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Select the true statements. Choose carefully as you will lose points for wrong answers. If A is a 3x3 matrix with eigenvalues 1, 2, and 3, then A is always going to be diagonalizable. If A^T = A and r, s are distinct eigenvalues of A, then Er and Es are orthogonal subspaces. If A is a 3x3 matrix with only two eigenvalues, then A cannot be diagonalizable. det(3A) = 3det(A) for any matrix A. If A is a 5x5 matrix, then det(3A) = 3^5det(A). If A is diagonalizable, then A is invertible.
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