-2 4 -2 -6-3 2 1 1. Let A = -3 8 2 -3 0 2 5 3 Answer the following. If you use technology, your explanations should only rely on the rref() and/or multiplication commands on Sage or another CAS (you can use other commands to check your work). a) Find a non-zero vector in R4 that is an element of Col(A) and not an element of Nul(A) or explain why it's not possible to do so. If you do find such a vector, explain both why it is an element of Col(A) and why it is not an element of Nul(A)- these general instructions apply for all parts of the problem.
-2 4 -2 -6-3 2 1 1. Let A = -3 8 2 -3 0 2 5 3 Answer the following. If you use technology, your explanations should only rely on the rref() and/or multiplication commands on Sage or another CAS (you can use other commands to check your work). a) Find a non-zero vector in R4 that is an element of Col(A) and not an element of Nul(A) or explain why it's not possible to do so. If you do find such a vector, explain both why it is an element of Col(A) and why it is not an element of Nul(A)- these general instructions apply for all parts of the problem.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Transcribed Image Text:b) Find a non-zero vector in Rª that is an element of Nul(A) and not an element of
Col(A) or explain why it's not possible to do so.
c) Find a non-zero vector R4 that is not an element of Nul(A) and is not an element of
Col(A) or explain why it's not possible to do so.
d) Find a non-zero vector Rª that is an element of both Nul(A) and Col(A) or explain
why it's not possible to do so.
Transcribed Image Text:4
-2
-6 -3
1. Let A
8
2 -3
0
2 5 3
Answer the following. If you use technology, your explanations should only rely on
the rref() and/or multiplication commands on Sage or another CAS (you can use other
commands to check your work).
a) Find a non-zero vector in R4 that is an element of Col(A) and not an element of
Nul(A) or explain why it's not possible to do so. If you do find such a vector, explain
both why it is an element of Col(A) and why it is not an element of Nul(A)– these general
instructions apply for all parts of the problem.
-3
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