Let Find the image of an arbitrary vector T Let T: R2 R2 be the linear transformation satisfying -5 -33 ([]) || T(v₁) V₁ [3] = = [2] and ₂ = 3 and T(₂) = -24

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let
Find the image of an arbitrary vector
T
(G)-8
Let T: R² R2 be the linear transformation satisfying
-5
-33
T(v₁)
71
[]
=
=
[3]
and 72
=
and
3
T(6₂) = [-24].
Transcribed Image Text:Let Find the image of an arbitrary vector T (G)-8 Let T: R² R2 be the linear transformation satisfying -5 -33 T(v₁) 71 [] = = [3] and 72 = and 3 T(6₂) = [-24].
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