Suppose m linear systems Ax(p) = b(p) , p = 1, 2,... , m, are to be solved, each with
Chapter 6, Problem 6.3.8(choose chapter or problem)
Suppose m linear systems Ax(p) = b(p) , p = 1, 2,... , m, are to be solved, each with the n n coefficient matrix A. a. Show that Gaussian elimination with backward substitution applied to the augmented matrix A : b(1) b(2) b(m) requires 1 3 n3 + mn2 1 3 n multiplications/divisions and 1 3 n3 + mn2 1 2 n2 mn + 1 6 n additions/subtractions. b. Show that the GaussJordan method (see Exercise 12, Section 6.1) applied to the augmented matrix A : b(1) b(2) b(m) requires 1 2 n3 + mn2 1 2 n multiplications/divisions and 1 2 n3 + (m 1)n2 + 1 2 m n additions/subtractions.
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