Consider the problem of finding a quadratic polynomial p(x) which best fits the data (-1,0),(0,1),(1,2),(2,4). b the four equations p(-1) = 0,p(0) = (a) Write in matrix form Ac = 1,p(1) = 2, p(2) = 4. (b) Is there a solution c to the matrix equation Ac = b in part (a)? (c) Write down the normal equation of Ac = b. (d) Without calculating the solutions to this normal equation, explain why it must have at least one solution.

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