Problem #16: Which of the following statements are always true? [2 marks] (i) If A is a 25 x 25 matrix with det(A) = 1 then A = I. (ii) If A and B are 305 x 305 matrices with det(A) = 5 and det(B) = 7, then det(BA) = 35. (iii) If A and B are n x n matrices with det(AB) = 28 then det(B A ]) = 1 (A) none of them (B) (i) and (iii) only (C) all of them (D) (iii) only (E) (i) only (F) (i) and (ii) only (G) (ii) and (iii) only (H) (ii) only Problem #16: Select v Save Problem #17: Consider the following matrix A (whose 2nd and 3rd rows are not given), and vector x. [2 marks] a1 1 4 A = X Given that x is an eigenvector of the matrix A with eigenvalue 1 = 4 what is the value of all? Problem #17