(b) Define the operator T : → ? as: (Tx) = 21-1 for every x = () E l". That is, $2 53 Tx = |f1. for every x (fi, 52, E3, ...) E l. 2 22

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Chapter2: Second-order Linear Odes
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(b) Define the operator T : → ? as:
(Tx) =
21-1
for every x = () E l".
That is,
$2 53
Tx = |f1.
for every x (fi, 52, E3, ...) E l.
2 22
Transcribed Image Text:(b) Define the operator T : → ? as: (Tx) = 21-1 for every x = () E l". That is, $2 53 Tx = |f1. for every x (fi, 52, E3, ...) E l. 2 22
iv. Show that T is injective.
v. Show that T is not surjective.
Transcribed Image Text:iv. Show that T is injective. v. Show that T is not surjective.
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