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a) Let S = Claa 1-21 be a set of vectors in R³ and X = 4 be a vector in R³. 13 If possible, write X as a linear combination of vectors in S. b) Let S = {X₁,X₂,X₂} be a linearly independent set of vectors inR³. Determine whether T = = {2X₁ + X₂-2X³, 4X₁ +3X₂, 3X₁ + 2X₂- X₂} is linearly independent.

a) Let S = Claa 1-21 be a set of vectors in R³ and X = 4 be a vector in R³. 13 If possible, write X as a linear combination of vectors in S. b) Let S = {X₁,X₂,X₂} be a linearly independent set of vectors inR³. Determine whether T = = {2X₁ + X₂-2X³, 4X₁ +3X₂, 3X₁ + 2X₂- X₂} is linearly independent.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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GOC) If possible, write X as a linear combination of vectors in S. b) Let S = {X,₁,X₂,X₂} be a linearly independent set of vectors inR³. Determine whether T = {2X₁ + X₂-2X², 4X₁ + 3X₂, 3X₁ + 2X₂- X₂} is linearly independent. a) Let S = be a set of vectors in R³ and X = 4 be a vector in R³. 13
Transcribed Image Text:GOC) If possible, write X as a linear combination of vectors in S. b) Let S = {X,₁,X₂,X₂} be a linearly independent set of vectors inR³. Determine whether T = {2X₁ + X₂-2X², 4X₁ + 3X₂, 3X₁ + 2X₂- X₂} is linearly independent. a) Let S = be a set of vectors in R³ and X = 4 be a vector in R³. 13
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