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-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.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 51EQ
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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: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.
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
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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