Prove Theorem 7.11: The set{v1, ... , vm}is a basis for a vectorspace V if and only if

Chapter 7, Problem 53

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Prove Theorem 7.11: The set{v1, ... , vm}is a basis for a vectorspace V if and only if the equationc1v1 ++ cmvm = vhas a unique solution c1, ... , cm for every v in V. (HINT: SeeTheorem 7.9.)

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