=) Fine ker(T). T 2 Y+z -2x
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Given the linear transformation T: R³ → R³ given by
(1)-
(a) Fine ker(T).
T
2
I
y+z
-2x
(b) Find a basis for ker(T).
(c) Find a basis for range(T).
(d) State the rank-nullity theorem for linear transformations and verify
that it holds for T.
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