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6 Nov 2019
(1) Suppose you were given the sequence of vectors (vi, V2. V3) in R4 and asked whether the sequence was linearly dependent or independent. (a) What steps would you follow to obtain a system of linear equations which you could then represent with a matrix? How do you use the definition of linear dependence/independence? b) Would the resulting system be homogeneous or inhomogeneous? Why? (c) How many u would be in the system of equations, and what would they represent in terms of the original question? d) How many equations would be in the system, and where do these equations come from? (Hint: Consider the step which occurs just before writing down a system of linear equations.) Show transcribed image text
(1) Suppose you were given the sequence of vectors (vi, V2. V3) in R4 and asked whether the sequence was linearly dependent or independent. (a) What steps would you follow to obtain a system of linear equations which you could then represent with a matrix? How do you use the definition of linear dependence/independence? b) Would the resulting system be homogeneous or inhomogeneous? Why? (c) How many u would be in the system of equations, and what would they represent in terms of the original question? d) How many equations would be in the system, and where do these equations come from? (Hint: Consider the step which occurs just before writing down a system of linear equations.)
Show transcribed image text Tod ThielLv2
26 Sep 2019