1. Which vector norm gives the smallest value?

2. Compute the 1–norm, 2–norm (Euclidean norm), 3–norm, and infinity norm of vector
          u = [ –47.2, 17.8, 39.3, –21.6 ]^T.
   How do the values of those norms compare?

3. Do the following problems. Recall that the 2-norm of a matrix is the Frobenius norm.

   

   
        The Frobenius norm of A is 17.34935157.
        The Frobenius norm of B is 18.95098942.

4. In the following, assume that A and B are compatible for the following operations.
   Answer with true or false.
   1. || AB ||   ≤   || A || || B ||

   2. || A + B ||   >   || A || + || B ||

   3. || A ||₁   =   || A^T ||_∞

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