Please solve Linear Algebra and show all steps. Thank you. Let u =468 14-4 and A= 01-2Is u in the subset of R3 spanned by the columns of A? Why or why not?1- 51 31Select the correct choice below and fill in the answer box to complete your choice.(Type an integer or decimal for each matrix element.)writes u as a linear combination of the columns of A.A. Yes, multiplying A by the vectorB. No, the reduced echelon form of the augmented matrix is, which is an inconsistent system.

Answered: Let u = 4 68 14 -4 and A= 01-2 Is u in…

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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Please solve Linear Algebra and show all steps. Thank you.

Let u =
4
68 14
-4 and A= 01-2
Is u in the subset of R3 spanned by the columns of A? Why or why not?
1
- 5
1 31
Select the correct choice below and fill in the answer box to complete your choice.
(Type an integer or decimal for each matrix element.)
writes u as a linear combination of the columns of A.
A. Yes, multiplying A by the vector
B. No, the reduced echelon form of the augmented matrix is
, which is an inconsistent system.

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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