Can 5= (7,14,0) be written as a linear combination of vectors from the set {(1.-2,-1). (0,1,2). (3,-1,0)} ? If yes, clearly show how the coefficients are calculated (trial and error will not be accepted). If no, then explain why not. Determine with explanations and calculations whether the set {(-2,3,0). (1, –1,2). (0,3,2)} is linearly independent
Can 5= (7,14,0) be written as a linear combination of vectors from the set {(1.-2,-1). (0,1,2). (3,-1,0)} ? If yes, clearly show how the coefficients are calculated (trial and error will not be accepted). If no, then explain why not. Determine with explanations and calculations whether the set {(-2,3,0). (1, –1,2). (0,3,2)} is linearly independent
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 74E
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![Can 5 = (7,14,0) be written as a linear combination of vectors from the set
{(1,-2,-1), (0,1,2). (3,–1,0)} ? If yes, clearly show how the coefficients are
calculated (trial and error will not be accepted). If no, then explain why not.
Determine with explanations and calculations whether the set
{(-2,3,0). (1, –1,2), (0,3, 2)} is linearly independent.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F08cd7c84-c319-4c2c-a49a-cfe8ae01a951%2Fd7f22394-5071-4ba1-8263-5e004cbed97c%2F3py8xst_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Can 5 = (7,14,0) be written as a linear combination of vectors from the set
{(1,-2,-1), (0,1,2). (3,–1,0)} ? If yes, clearly show how the coefficients are
calculated (trial and error will not be accepted). If no, then explain why not.
Determine with explanations and calculations whether the set
{(-2,3,0). (1, –1,2), (0,3, 2)} is linearly independent.
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