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(Least Squares Curve Fitting) Consider the function of the form y=B1 sin(2) + B2 sin(2:) + B3 sin(3.c) + B4 sin(4.c) + B5 sin(50) and the points {(51)3=0.4}~{ C -1)=5:5} (a) [7 marks) If the function exactly went through these 10 points, what linear system would the B1, B2, B3, B4, B5 satisfy? (write as a matrix vector equation) (b) (7 marks) What is corresponding system the least squares solution satisfies (i.e. the normal equations)? (c) (6 marks) Find the least squares solution