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Let U = {(1, 2, 3, 4x15x2+7x3): 1, 2, and x3 are real numbers). Is U a subspace of R4? Explain. If U is

Let U = {(1, 2, 3, 4x15x2+7x3): 1, 2, and x3 are real numbers). Is U a subspace of R4? Explain. If U is not a subspace of R4, find a counter-example.

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