Question: 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

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 = {[a b] : a,be (-1,1) with regular vector addition and scalar multiplication for M2,2 iii) S = (ax' + bx: a and b are odd integers} with regular vector addition and scalar multiplication for P2

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