SOLVED: Theorem 1.3 (Greedy Basis Extension Theorem) Let V be the vector-space span of 2l , 22 xP Then every linearly-independent subset of 21 22 xP can be extended to basis for
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7. fv is finite dimensional vector space and dim v = n. !f any subset of v which
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Today's Goal: Proof of Extension Theorem If a partial solution fails to extend, then Corollary. If is constant for some i, then all partial solutions extend. - ppt download