Ma 242 Exam 1 Linear Algebra Worksheet Page 4

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3. (18 points)
(a) Define what it means for T : R
R
to be a linear transforma-
tion.
2
2
(b) Let T : R
R
be defined by T (x
, x
) = (x
+x
, x
). Determine
1
2
1
2
1
the matrix associated to T .

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