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Suppose that you want to find the unique polynomial, y = f(x), of degree

Suppose that you want to find the unique polynomial, y f@), of degree 6 that interpolates the 7 points (a) (3 pts) Write down the linear system that you need to solve to find the coefficients of this polynomial, and the augmented matrix of this system. (b) (4 pts) Solve the system from part (a) to find the coefficients of the polynomial (rounded to 3 decimal places) and write down the polynomial.