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    Spanning sets and vectors

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    Solving problems on spanning sets

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    #12 a) We will not have a spanning set of V because one of two things can happen: i) x(k+1) is linearly dependent of the spanning set or ii) x(k+1) is linearly independent.
    If it is i) then by definition, x(k+1) is not a member of the spanning set of V (all members must be linearly independent of each other).
    On the other ...

    Solution Summary

    These solves several problems regarding the addition and deletion of vectors from spanning sets.