Hello. Please answer the attached Linear Algebra question and its 2 parts correctly & completely. Please show all of your work for each part. *If you answer the question and its 2 parts correctly & show all of your work, I will give you a thumbs up. Thanks. Part 1:Find an explicit description of the nullspace of matrix A by listing vectors thatspan the null space.[1 -2 -2 -51AA = ₂²2-2-²2]0 1 3 2Part 2:Determine if the vector u is in thecolumn space of matrix A andwhether it is in the null space of A.u = 5,A=1-30 -53 -3 6*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 and its 2 parts correctly & completely. Please show all of your work for each part.

*If you answer the question and its 2 parts correctly & 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.
[1 -2 -2 -51
A
A = ₂²2-2-²2]
0 1 3 2
Part 2:
Determine if the vector u is in the
column space of matrix A and
whether it is in the null space of A.
u = 5
,A
=
1-3
0 -5
3 -3 6
*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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