Question

4 Suppose that we measure the following four points: 1 1.0 2 1.5 3 3.0 46.0 These could come from a process f(x)- -clx + c2x2. Write down a matrix A (which will be 4 x3) by setting 1...4 and vector y and hence write down a least-squares minimisation problem that optimises overc ,c,c2 Now solve that system using the Householder matrices

Answer 1

1622 4 X1 2, to 36 low 30 เมา0354 ll-5 13 6-125S0-3139412 o-31 37 0-8g75-6-3311 Vi -VI 1-2 rT.v, - 0-8935 444 2

4-484 o.S60ί C412 っしー 3-1S 985 0-620 335 CS 23-6247.0- 62 o33S ㄧ-1.45025구 89 U-42 o 3356s. 368-316 2 -49938