II. In each case, the set with the given operations is not a vector space. Verify that it is not a vector space by demonstrating that one of the criteria fails. i) S = - b: a+3b = 4, a,b E R with regular vector addition and scalar multiplication for R i) s= {6 : a,bE(-1.1)} with regular vector addition and scalar multiplication for M22 S = {ax² + bx: a and b are odd integers} with regular vector addition and scalar multiplication for P2 ii)

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A: We have to solve given problem:

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A: A set of non-zero vectors {x1,x2,...,xn} is linearly dependent if some of these vectors say xi is a…

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A: Given that w=0828-31v1=1-210v2=-1308v3=1-4-53

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Q: vector

A: (a+b)(v+w) = (a+b)v + (a+b)w

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A: We will first check the linearly independence of this set of three vectors

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A: Here we state whether it is true or false.

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A: V does not form vector space, because