Answered: Let T: R2→R? be the linear…

Let T: R2→R? be the linear transformation such that T(e, ) and T(e2) are the vectors shown in the figure. Using the figure, sketch the vector T(2,1).

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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Question

Let T: R2-R2 be the linear transformation such that T(e,) and
X2
T(e,) are the vectors shown in the figure. Using the figure, sketch
the vector T(2,1).
T(e1)
T(2)
X1
Choose the correct graph below.
O A.
О в.
Oc.
O D.
X2
X2
X2
X2
T(2,1)
T(2,1)
T2,T (01) Q
T(2,1)
X1
X1
X1

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