Saints Cyril and Methodius Calculate the Mathematical Values Questions

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Solve the question from numerical analysis. Show all work and calculations……

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1. (25 pts) Let
A
=
2 1 1 0
4 3 3 1
8 7 9 5
6 7 9 8
and b=
4
11
29
30
Using the exact arithmetic, do the following:
(a) Compute PLU-factorization of A, that is, PA = LU, using Gaussian
elimination with partial pivoting.
(b) Compute c = Pb.
(c) Solve Ld = c for d.
(d) Solve Ux = d for x.

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Tags:
mathematical notation

factorization

partial pivoting

mathematical equations

Gaussian elimination method

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