Determine whether the following are linear transformations from P 2 to P 3 . (a) L ( p ( x ) ) = x p ( x ) (b) L ( p ( x ) ) = x 2 + p ( x ) (c) L ( p ( x ) ) = p ( x ) + x p ( x ) + x 2 p ' ( x )
Determine whether the following are linear transformations from P 2 to P 3 . (a) L ( p ( x ) ) = x p ( x ) (b) L ( p ( x ) ) = x 2 + p ( x ) (c) L ( p ( x ) ) = p ( x ) + x p ( x ) + x 2 p ' ( x )
Determine whether the following are linear transformations from
P
2
to
P
3
. (a)
L
(
p
(
x
)
)
=
x
p
(
x
)
(b)
L
(
p
(
x
)
)
=
x
2
+
p
(
x
)
(c)
L
(
p
(
x
)
)
=
p
(
x
)
+
x
p
(
x
)
+
x
2
p
'
(
x
)
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