(3. Suppose T is a linear tronstormation from V to w and that {š X is a LI. söt of ve ctors in V. la) If Tis l-1, show that ST(8), TO TEX is LaI Give an exemple to show that it T is hot I-l then {T(X), TC), I)con be L.D.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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(3.) Suppose T is a linesr tronsformation from V to w
and that EX, X Xis a LI. set of ve etors in V.
Vad If Tis i- shaw thait ST(F), T TIX is LaI.
O Give an example to shaw that it T is hot -1
then {T X), TO), TOG)com beiL.D.
Transcribed Image Text:(3.) Suppose T is a linesr tronsformation from V to w and that EX, X Xis a LI. set of ve etors in V. Vad If Tis i- shaw thait ST(F), T TIX is LaI. O Give an example to shaw that it T is hot -1 then {T X), TO), TOG)com beiL.D.
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