a. Show that if an invertible n x n matrix A admits an L[/-factorization, then it admits
Chapter 2, Problem 94(choose chapter or problem)
a. Show that if an invertible n x n matrix A admits an L[/-factorization, then it admits an LDU- factorization (see Exercise 90 d). Show that if an invertible n x n matrix A admits an LDU-factorization, then this factorization is unique. (Hint: Suppose that A = L\D\U\ = L2D2U2.) b. Then U2UX 1 = D2 1L2 1 L\D\ is diagonal (why?). Conclude that U2 = U\.
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