I would like to please get clarification on a point in Linear Algebra. The following question says that A = LU is only possible if no pivots are 0.... 25. When zero appears in a pivot position, A = LU is not possible! (We need nonzeropivots d, f,i in U.) Show directly why these are both impossible:1 1 0de*-*** -d1 21 0 f2 1m012311= l 1n 1de gf hi

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Answered: 25. When zero appears in a pivot…

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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I would like to please get clarification on a point in Linear Algebra. The following question says that A = LU is only possible if no pivots are 0....

25. When zero appears in a pivot position, A = LU is not possible! (We need nonzero
pivots d, f,i in U.) Show directly why these are both impossible:
1 1 0
de
*-*** -
d
1 2
1 0 f
2 1
m
01
23
1
1
= l 1
n 1
de g
f h
i

Branch of mathematics concerned with mathematical structures that are closed under operations like addition and scalar multiplication. It is the study of linear combinations, vector spaces, lines and planes, and some mappings that are used to perform linear transformations. Linear algebra also includes vectors, matrices, and linear functions. It has many applications from mathematical physics to modern algebra and coding theory.

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