Solved: TEAM PROJECT. Crout's method factorizes A = LV,

Chapter 20, Problem 20.1.24

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TEAM PROJECT. Crout's method factorizes A = LV, where L is lower ttiangular and V is upper triangular with diagonal entnes lljj = l,j = 1, ... ,11,(a) Formulas. Obtain formulas for Crout's methodsimilar to (4).(b) Examples. Solve Probs. I and 7 by Crout's method.(e) Factor the following matrix by the Doolittle.Crout. and Cholesky methods.l-:-4254(d) Give the formulas for factoring a tridiagonalmatrix by Crout's method.(e) When can you obtain Crout's factorization fromDoolittle's by transposition?

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