10 The matrix is diagonalizable, and its diagonal form is a. b. c. d. 2 points Question 11 The reduced row echelon form for is a. b. c. d. 2 points Question 12 A linearly independent set of vectors in has at most n elements. True False 2 points Question 13 The orthogonal projection of onto the plane in spanned by is a. b. c. d. 2 points Question 14 An n n matrix is symmetric if and only if it is orthogonally diagonalizable. True False 2 points Question 15 Let A be a 2 2 matrix with eigenvalues corresponding to eigenvectors , respectively. If , then a. b. c. d. 2 points Question 16 A matrix Q is orthogonal if and only if detQ = 1. True False 2 points Question 17 Any spanning set for must contain a. linearly independent vectors b. at least 7 vectors c. exactly 7 vectors d. at most 7 vectors 2 points Question 18 The rank of the matrix is a. 1 b. 0 c. 3 d. 2 2 points Question 19 If V is an inner product space, then (v, 0) = 0 for all v in V