(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?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter5: Orthogonality
Section5.4: Orthogonal Diagonalization Of Symmetric Matrices
Problem 27EQ
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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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