Moving to another question will save this response. Question 1 Distance between two vectors is a vector quantity. True O False Moving to another question will save this response.Moving to another question will save this response. Question 10 The scalar A is called an eigenvalue of A if Ax = (A -1)x O True O False A Moving to another question will save this response.Moving to another question will save this response. Question 11 The real part of u = (1+7i, 9-i, 3-i) is (1,9,3). O True O False Moving to another question will save this response.A Moving to another question will save this response. Question 12 The dimension of a vector space is the number of elements in the largest linearly independent set in that vector space. O True FalseLu> Moving to another question will save this response. Question 13 If S is a finite set of vectors in a vector space V and a basis for V then it must be linearly dependent and S spans V. O True O False0.25 poi Question 2 The vectors u = (1, -1) and v = (2, 1) are orthogonal with respect to the weighted Euclidean inner product = 3u1v1+ 2u2v2 O True FalseAQuestion Completion Status: 2 6 8 10 11 12 13 14 Moving to another question will save this response. Question 3 The inner product of a non-zero vector with itself is always positive. True False Moving to another question will save this response.L.> Moving to another question will save this response. Question 4 Suppose inner product on R is defined as = 4ujv1 + 2u2v2 for u =(u1, u2) and v = (v1, v2). If u = ( 2, 1 ), v = (6, 3 ), then = O 53 O 52 54 50\f> Moving to another question will save this response. Question 6 The distance between u = (15, 7, 4, 6) and v = (3, 2, 1, 4) is O 82 O 182 O 48 O 182Moving to another question will save this response. Question 7 10 0 If A = 0 2 0 then the eigenvalues for the matrix A-are given by 0 03 O 1, 2, 3 O 1, 2, 0 O 1, 4, 2 O 9, 1, 4 A Moving to another question will save this response..) Moving to another question will save this response. Question 8 0 The characteristic equation of the matrix A = is given by: 0 4 O x2 + 92+ 20=0 O x2 + 92- 20=0 O 12- 92-20=0 O x2. 92+ 20=0 AMoving to another question will save this response.10 11 12 13 14 15 Moving to another question will save this response. Question 9 If {1, 4, -2} be the eigen values of a square matrix, then its determinant will be: 0 6 OO O - 8 0 2 A Moving to another question will save this response