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3. Let V be a subspace of R. Suppose that S = {, 2...Um} is a basis for V, then prove that any set

3. Let V be a subspace of R Suppose that S = {vi, v2...Um} is a basis for V, then prove that any set of m1 or more vectors in

3. Let V be a subspace of R. Suppose that S = {, 2...Um} is a basis for V, then prove that any set of m + 1 or more vectors in V is linearly dependent. Construct examples for m = 2 and understand the statement first before formally proving the same.

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