Question: (a) Write a MATLAB/Octave program that solves the following system: 10x + 7y + 8z + 7w = 32, 7x + 5y + 6z

(a) Write a MATLAB/Octave program that solves the following system: 10x + 7y + 8z + 7w = 32, 7x + 5y +6z+5w =

(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 es- timator. Also state whether the system is ill-conditioned or well conditioned and justify your (15) 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. (10)

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