Q:

Determine if the set S = {(3, 1), (7, 3)} is linearly independent in the crazy vector space C (Example CVS)

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Determine if the set S = {(3, 1), (7, 3)} is linearly independent in the crazy vector space C (Example CVS).

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Notice, or discover, that the following gives a nontrivial relation of linear dependence on S in C, so by Definition LI, the set S is linearly dependent.

2(3, 1) + (1)(7, 3) = (7, 3) + (9, 5) = (1, 1) = 0

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