Needing the MATLAB OR MAPLE script to solve this problem.

To find a polynomial of degree 5 which passes through the 6 points (1,7), (2,-3), (4,2), (-1,0), (3, 1), and (-3,-1), you need to solve a system of 6 equations with 6 unknowns (ai,i 0.5). (a) Write the system of equations. (b) Solve the system however you like, and give the solution. (c) Describe what calculator or software () you used and explain the steps you took to solve the problem (d) Give the row echelon form of the augmented matrix determined by the system of equations in your answer to part (a). To find a polynomial of degree 5 which passes through the 6 points (1,7), (2,-3), (4,2), (-1,0), (3, 1), and (-3,-1), you need to solve a system of 6 equations with 6 unknowns (ai,i 0.5). (a) Write the system of equations. (b) Solve the system however you like, and give the solution. (c) Describe what calculator or software () you used and explain the steps you took to solve the problem (d) Give the row echelon form of the augmented matrix determined by the system of equations in your answer to part (a)