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Find L and U   Using python3  3X3 Matrices  a) by using doolittle's decomposition in Python3 language   A= LU=  [4,-1,0], [-1,4,-1], [0,-1,4]

Find L and U   Using python3  3X3 Matrices  a) by using doolittle's decomposition in Python3 language   A= LU=  [4,-1,0], [-1,4,-1], [0,-1,4]

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Find L and U   Using python3 

3X3 Matrices  a) by using doolittle's decomposition in Python3 language

  A= LU=  [4,-1,0], [-1,4,-1], [0,-1,4]

Expert Solution
Step 1

The Doolittle Algorithm allows to factor a matrix into lower and upper triangle.

For an n * n matrix, it is assumed that an LU decomposition is there and then write the from of L and U explicitly.

Systematically compute the elements in L and U using the equations for the multiplications which are required for A = LU.

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