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December 25, 2021 10:15 am 30 pts
4. Let denote a vector space over a field F and with a basis B=l.e2,..,en Let ,*2,X, EF Let C={MX1 +X2e2 +X22t.**nn . Then (a.) C is a linearly independent set implies that x; *0 for every i =1,2,..,n (b.) x *0 for every i=1,2,...,n implies that C is a linearly independent set. (c.) The linear span of C is V implies that x #0 for'every i = 1,2,..,n (d.) x; *0 for every i=1,2,..,n implies that the linear span of C isV
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• Navdeep goyal 1
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