Answered: A == 11 1 1 24 8 1 2 139 9 27 1 4 4 16…

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A == 11 1 1 24 8 1 2 139 9 27 1 4 4 16 64)

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

Calculate an LR decomposition of A using the Gaussian elimination method.
Proceed as follows:
(a) Determine the lower triangular matrices L(1), L(2) and L(3) such that:

L(3)- L(2)- L(1)- A = R
with an upper triangular matrix R.

(b) Determine the inverse L of the product L(3)-L(2)-L(1) to obtain the decomposition A = L-R
to obtain

A ==
11
1 1
24 8
1 2
139
9 27
1 4 4 16 64)

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