please solve using octave. include program output and input.

regards.

(a) Write a MATLAB/Octave program that solves the following system: 10x+7y+8z+7w=32,7x+5y+6z+5w=23,8x+6y+10z+9w=33,7x+5y+9z+10w=31. Using the left division operator, compute the residual, the determinant and the conditional estimator. Also state whether the system is ill-conditioned or well conditioned and justify your answer. (b) Write a program to compute the sum of the series 12+22+32 such that the sum is as large as possible without exceeding 100 . The program should display how many terms are used in the sum