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Unformatted text preview: LSE
005 002 10.0 points 2 If T : R → R is the linear transformation
such that
x1
x2 10.0 points Every linear transformation T : Rn → Rm
is a matrix transformation. 1
4. T (x) =
0 T 10.0 points 1. FALSE 3
−1 3
3. T (x) =
0 2 1 = x1 −1
−2
,
+ x2
1
2 determine T (x) when x = 1. T (x) = −5
4 2. T (x) = −4
4 1
.
3 10.0 points If A is an m × n matrix, then the range of
the transformation
T : Rn → Rm , TA : x → A x , is the set of all linear combinations of the
columns of A.
True or False?
1. TRUE
2. FALSE
006 10.0 points Let T : R2 → R2 be the linear transformation such that
T (x1 , x2 ) = (3x...
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 Fall '14

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