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(1) Suppose you are given three vectors V1,v2,V3 ? R5 and are asked to determine whether b ER is a linear combination of V1, V2, V3 a) Explain how you would use the definition of linear combination to write down a system of linear equations which would allow you to answer this question. Under what conditions would the system be homogeneous/inhomogeneous? b) Explain how you could obtain a matrix from this system of equations. (c) Explain how you would extract the answer to the original question from the redurxxl ?1k'Ion forul ofthe mai rix (alter Gangaaln elimination) Show transcribed image text (1) Suppose you are given three vectors V1,v2,V3 ? R5 and are asked to determine whether b ER is a linear combination of V1, V2, V3 a) Explain how you would use the definition of linear combination to write down a system of linear equations which would allow you to answer this question. Under what conditions would the system be homogeneous/inhomogeneous? b) Explain how you could obtain a matrix from this system of equations. (c) Explain how you would extract the answer to the original question from the redurxxl ?1k'Ion forul ofthe mai rix (alter Gangaaln elimination)
(1) Suppose you are given three vectors V1,v2,V3 ? R5 and are asked to determine whether b ER is a linear combination of V1, V2, V3 a) Explain how you would use the definition of linear combination to write down a system of linear equations which would allow you to answer this question. Under what conditions would the system be homogeneous/inhomogeneous? b) Explain how you could obtain a matrix from this system of equations. (c) Explain how you would extract the answer to the original question from the redurxxl ?1k'Ion forul ofthe mai rix (alter Gangaaln elimination)
Show transcribed image text (1) Suppose you are given three vectors V1,v2,V3 ? R5 and are asked to determine whether b ER is a linear combination of V1, V2, V3 a) Explain how you would use the definition of linear combination to write down a system of linear equations which would allow you to answer this question. Under what conditions would the system be homogeneous/inhomogeneous? b) Explain how you could obtain a matrix from this system of equations. (c) Explain how you would extract the answer to the original question from the redurxxl ?1k'Ion forul ofthe mai rix (alter Gangaaln elimination) 1
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Trinidad TremblayLv2
22 Jan 2019