for que 3 2011 in hammond its written there should be atleast 1 non zero scalar to show dependency.. why the ans is 2?
also please if someone can give logic for que 4
thanx in advance:)
Given v1, v2, ...vn are linearly dependent vectors...That is:
c1*v1 + c2*v2+...+cn*vn = 0 such that not all scalars (c1,c2..cn) are zero.
Now, suppose only c1 ≠ 0 and rest all are zero then, we'll have c1*v1 = 0 but this cant be possible as c1≠0 and v1 is a non zero vector. Hence, minimum number of non zero scalars = 2.
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