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 -5] -(13-1 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. "-²3-₁4 ·A=|- u = , A = 54 1 -3 4 -1 0-5 3 -3 *Please show all of your work for both parts. Thanks.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 30RE
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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.
Transcribed Image Text: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.
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