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(c)
(d)

   Show that the range of the linear operator defined by the equations
3.

   is not all of , and find a vector that is not in the range.

   Show that the range of the linear operator defined by the equations
4.

is not all of , and find a vector that is not in the range.

   Determine whether the linear operator         defined by the equations is one-to-one; if so, find the standard matrix for
5. the inverse operator, and find
                                              .

(a)

(b)

(c)
(d)

       Determine whether the linear operator           defined by the equations is one-to-one; if so, find the standard matrix for
6. the inverse operator, and find                .

     (a)
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