Let A, B and C are 4 times 4 matrices. Which of the following is (are) true? (A

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Let A, B and C are 4 times 4 matrices. Which of the following is (are) true? (A + B)^T = A^T + B^T (A + B)^-1 = A^T + B^-1 (AB)^T = A^T B^T (AB)^-1 = B^-1 B^-1 (i), (ii) and (iii) (i), (ii) and (iv) (i) and (iv) AB of the above Which of the following matrices in NOT invertible? Let A be a 5 times 5 an invertible matrix. Which of the following statements is not necessarily true? A^T A is an invertible matrix. A = A^T. A has 5 pivot positions. The equation Ax = 0 has no nontrivial solution. Which of the following sets is a subspace of R^#? {matrix | x_1 + x_2 + x_3 = 7} {matrix |x_2 + x_3 = 0} {matrix |x_2x_3 = 1} {matrix |x_1^2 = x_2^2} Let A and B be 3 times 3 matrices such that det(A) = 4 and det(B) = 3. Find det (2A^-1 B^2) 9/2 72 -72 18

Explanation / Answer

17) answer c

18) answer c

19) answer b

21) answer a

20) answer b

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