70 14 55 # " 1 0 5/7. 3 2 6 1 15 0 0 1 0. Name: there is a cubic polynomial of the form ax3 + bx2 + c which contains the four points (3, 47), (2, 10), ( 1, 5) and ( 2, 38). Set up the system of equations you need to solve in order to nd a, b and c. Name: the points (1, 8), (2, 5), (4, 4) and (7, 3) do not lie on any one line. Find m and b so that y = mx + b is the least squares line that best ts these four points. Name: suppose w is the column space of a = a b c d. Use (3b) to nd a basis for w . Let s be the set of those two column vectors in a. Produce an orthonormal set of vectors which also spans w .
