Please help with the practice problem.

Suppose that you want to nd the unique polynomial, y : f(:), of degree 3 6 that interpolates the 7 points (-2, I), (-1, 3), (I, -4), (2, -6), (3, J), (4, 3), (6, -2). (a) Write down the linear system that you need to solve to nd the coefficients of this polynomial, and the augmented matrix of this system. (b) _ Solve the system from part (a) to nd the coefcients of the polynomial (rounded to 3 decimal places) and write down the polynomial. You can . . . [n this case, Show at least 5 of the intermediate Gaussian reduction steps, and include all of the row operations that you use