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Differences between the two problems are clear

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In solving the following problems, give clearly written and logically com-plete arguments; and make sure that the differences between the two problems are clear.

i) Let v1,v2,···vn be a list of non-zero vectors such that no vector in the list is a linear combination of its predecessors. Prove that these vectors form a linearly independent set.

ii) Suppose that W is a subspace of an n-dimensional vector space V and dim(W) = n. Prove that W = V.

Reference no: EM132047091

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