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(a) Find the Doolittle (L unit lower triangular) and Crout (U unit upper triangular) decompositions A = LU of A = [2 40 (b) What is the unique A = LDÛ decomposition of the matrix in (a) with L and U both having 1s on their diagonals?

(a) Find the Doolittle (L unit lower triangular) and Crout (U unit upper triangular) decompositions A = LU of A = [2 40 (b) What is the unique A = LDÛ decomposition of the matrix in (a) with L and U both having 1s on their diagonals?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(a) Find the Doolittle (L unit lower triangular) and Crout (U unit upper triangular) decompositions A = LU of A = 2 [ (b) What is the unique A = LDÛ decomposition of the matrix in (a) with L and U both having 1s on their diagonals?
Transcribed Image Text:(a) Find the Doolittle (L unit lower triangular) and Crout (U unit upper triangular) decompositions A = LU of A = 2 [ (b) What is the unique A = LDÛ decomposition of the matrix in (a) with L and U both having 1s on their diagonals?
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