Question: (a) Write a program for solving linear systems by Choleskys method and apply it to Example 2 in the text, to Probs. 79, and to

(a) Write a program for solving linear systems by Cholesky’s method and apply it to Example 2 in the text, to Probs. 7–9, and to systems of your choice. (b) Apply the factorization part of the program to the following matrices (as they occur in (9), (with cj = 1), in connection with splines).

(a) Write a program for solving linear systems by Cholesky’s method and

Data from Prob. 7

Show the factorization and solve.

  9x1 +    6x2 + 12x3 = 17.4  6x1 + 13x2 + 11x3 = 23.612x1 + 11x2 + 26x3 = 30.8

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