Find a transformation T: R² → R² such that the square Q with the vertices at points О 3 (0,0), А%3 (1,0), В%3 (1, 1), С%3 (0, 1) is mapped to the parallelogram II with the vertices 0%3 (0,0), А %3 (1,1/2), В, 3 (3/2, 3/2), С — (1/2, 1). What is the area of the parallelepiped II.

Find a transformation T: R² → R² such that the square Q with the vertices at points О 3 (0,0), А%3 (1,0), В%3 (1, 1), С%3 (0, 1) is mapped to the parallelogram II with the vertices 0%3 (0,0), А %3 (1,1/2), В, 3 (3/2, 3/2), С — (1/2, 1). What is the area of the parallelepiped II.

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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Find a transformation T: R² → R² such that the square Q with the vertices
at points
О 3 (0,0), А%3 (1,0), В%3 (1, 1), С%3 (0, 1)
is mapped to the parallelogram II with the vertices
0%3 (0,0), А %3 (1,1/2), В, 3 (3/2, 3/2), С — (1/2, 1).
What is the area of the parallelepiped II.

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