SOLVED: Prove that a vector space is infinite-dimensional if and only if it contains an infinite linearly indcpendent subset.
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SOLVED: Prove that a vector space is infinite-dimensional if and only if it contains an infinite linearly indcpendent subset.
VIDEO ANSWER: You want to show that a sub space of a finite dimensional space is finitedimensional. We can allow v to be a finitedimensional space over some fi…
Dec 21, 2021
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