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For the following problems, use Octave/Matlab to determine whether the following sets span R³. Remember you need to pick an arbitrary element in R³ and see if you can write it as a linear combination of the set of vectors. For each problem. a) Type the row reduced echelon matrix found by Octave. b) Tell me if this set spans R³ and if so, solve for a, ß, ... c) Otherwise, explain how can you tell when there is no possible linear combination? d) If the set spans R³, what could you define a, ß, y, etc. to construct the vector 2 3 -> {0)-(C)-6)} (a) 2 -1 (b) 3 {(C)·()} 0 0 3

For the following problems, use Octave/Matlab to determine whether the following sets span R³. Remember you need to pick an arbitrary element in R³ and see if you can write it as a linear combination of the set of vectors. For each problem. a) Type the row reduced echelon matrix found by Octave. b) Tell me if this set spans R³ and if so, solve for a, ß, ... c) Otherwise, explain how can you tell when there is no possible linear combination? d) If the set spans R³, what could you define a, ß, y, etc. to construct the vector 2 3 -> {0)-(C)-6)} (a) 2 -1 (b) 3 {(C)·()} 0 0 3

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.2: Length And Angle: The Dot Product
Problem 17EQ
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19. For the following problems, use Octave/Matlab to determine whether the following sets span R³. Remember you need to pick an arbitrary element in R³ and see if you can write it as a linear combination of the set of vectors. For each problem. a) Type the row reduced echelon matrix found by Octave. b) Tell me if this set spans R³ and if so, solve for a, ß, ... c) Otherwise, explain how can you tell when there is no possible linear combination? d) If the set spans R³, what could you define a, ß, y, etc. to construct the vector (a) {(9)·(G). G -1 3 >> {(C)·()} (b) 0
Transcribed Image Text:19. For the following problems, use Octave/Matlab to determine whether the following sets span R³. Remember you need to pick an arbitrary element in R³ and see if you can write it as a linear combination of the set of vectors. For each problem. a) Type the row reduced echelon matrix found by Octave. b) Tell me if this set spans R³ and if so, solve for a, ß, ... c) Otherwise, explain how can you tell when there is no possible linear combination? d) If the set spans R³, what could you define a, ß, y, etc. to construct the vector (a) {(9)·(G). G -1 3 >> {(C)·()} (b) 0
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