Hello. Please answer the attached Linear Algebra question correctly and completely. Please show all of your work. *If you answer the question correctly and show all of your work, I will give you a thumbs up. Thanks. Part 1:Find an explicit description of thenull space of matrix A by listingvectors that span the null space.A =1 -2 -2 -2]1 1 5Part 2:Determine whether the vector u belongsto the null space of the matrix A.1---A-u = 4, A--23 -10]-1 -3 13*Please show all of your work for bothparts. Thanks.

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Answered: Part 1: Find an explicit description of…

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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Hello. Please answer the attached Linear Algebra question correctly and completely. Please show all of your work.

*If you answer the question correctly and show all of your work, I will give you a thumbs up. Thanks.

Part 1:
Find an explicit description of the
null space of matrix A by listing
vectors that span the null space.
A =
1 -2 -2 -2]
1 1 5
Part 2:
Determine whether the vector u belongs
to the null space of the matrix A.
1
---A-
u = 4, A
-
-2
3 -10]
-1 -3 13
*Please show all of your work for both
parts. Thanks.

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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