If A is a 3 times 3 diagonal matrix, which of the following matrices is not a po

Question

If A is a 3 times 3 diagonal matrix, which of the following matrices is not a possible value for some integer k? (A) [0 0 0 0 4 0 0 0 9] (B) [1 0 4 0 16 0 1 0 25] (C) [1 0 0 0 1/8 0 0 0 -1] (D) [0 0 0 0 0 0 0 0 0] The matrix [3 0 0 0 -7 0 0 0 -1] is: (A) upper triangular. (B) lower triangular. (C) both (A) and (B). (D) neither (A) nor (B) If A is a 4 times 5 matrix, find the domain and codomain of the transformation T_A(x) = Ax. (A) Not enough information (B) Domain: R^4, Codomain: R^5 (C) Domain: R^5, Codomain: R^5 (D) Domain: R^5, codomain: R^4 Which of the following is a matrix transformation? (A) T(x, y, z) = (yx^2, yz^2) (B) T(x, y, z, w) = (xy, yz, zw, wx) (C) T(x, y, z) = (x + 1, x + 2, x + z, y + z) (D) T(x, y) = (4x, 5x, -x, 0)

Explanation / Answer

14. its neither a upper nr lower triangular matrix

its a diagonal matrix because all the diagonal elements is give except others

so option (d) is coreect neither (A) nor (B)

15. Domain is R4 and codomain is R5   option (B) is correct

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