Ma 242 Exam 1 Linear Algebra Worksheet Page 8

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5. (18 points)
4
7
(a) Does there exist a map from R
to R
that is both one-to-one and
onto? If yes, give an example. If no, explain why not.
3
2
(b) Does there exist a map from R
to R
that is onto, but not one-to-
one? If yes, give an example. If no, explain why not.

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