D Consider the lineer tra given by Tlatbx+cx² lyou do not have to pro Find the folloceing a) ronge T ) a basis for range T e) rank T

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the linear transformation T:B>R"
given by
fza+3b+e]
T(atbx+cx*) =
(you do not have to prove T is a lineer tronstormatioe)
Find the following
a.) range T
0) a basis for rorge T
c) rank T
d o ker T
ea basis for ker T
G) nullity T
Transcribed Image Text:Consider the linear transformation T:B>R" given by fza+3b+e] T(atbx+cx*) = (you do not have to prove T is a lineer tronstormatioe) Find the following a.) range T 0) a basis for rorge T c) rank T d o ker T ea basis for ker T G) nullity T
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