(1) Given a linear transformation T: R2 R? defined by T(r) = Ar where 2 2 A = 3 3 2 ,V2%3D 3 (a) Find the B-coordinates [T(v)] and [T(v2)3 and a basis B = of R2. B. (b) Find the B-matrix [T]3 of T.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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linear algebra

(1) Given a linear transformation T: R2 → R? defined by T(r) = Ar where
[2 2
3 3
(a) Find the B-coordinates [T(v1)]3 and [T(v2)3.
and a basis 3
%3D
V2 = 3}
of R2.
(b) Find the B-matrix [T3 of T.
(c) Find the change of basis matrix S such that [T3 =S AS.
Acti
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Transcribed Image Text:(1) Given a linear transformation T: R2 → R? defined by T(r) = Ar where [2 2 3 3 (a) Find the B-coordinates [T(v1)]3 and [T(v2)3. and a basis 3 %3D V2 = 3} of R2. (b) Find the B-matrix [T3 of T. (c) Find the change of basis matrix S such that [T3 =S AS. Acti Go to
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