3.0 4.5 7.0 2.5 9.0 0.5 f(x) 2.5 1.0 a) By using Quadratic Spline Method, determine the 8 simultaneous equations used to form the matrix [4.5 1 0 0 0 0 0b, 0||C1 0 0 |a2 1 0 20.25 4.5 1 1 49 7 1 2.5 49 7 1||b, |2.5 3 1 0 || C2 2.5 0 81 1 |az 0|b, 1 0 -14 -1 0 ||c, 9. 0.5 1 -9 -1 0 14

2. For which h the matrix 1 1 -1 h 1 1 2 1 A 1 has two pivot columns?

Give an example of a 2 x 3 matrix A that is in RREF and whose solutions to 2 (3) 4 1 Ax = 0 is spanned by the vector a =

Find the matrix of the quadratic form S+7-3r-6r ay+4rd-2r2y a) 2-1 b) 7-2 7/2 -3/2 3. c) 7/2 -3/2 2. d) 410