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    Please see the attached file for full problem description.
    The "norm" of a vector is a measure of it's "size" or "magnitude". There are many different ways to express the norm of a vector. These are referred to as the Lk norm, and written....see attached

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    Ans 6.)
    Because, L1 is the linear combination fo mods of v1 to vn hence this is linear transformation of all the vi (i = 1 to n).
    In case of L2 norm of v is root of sum of ...

    Solution Summary

    This defines norms and asks whether they are linear transformations and one-to-one mappings