b. Find a transformation T: R² → R² such that the square Q with the vertices at points O = (0,0), A= (1, 0), B= (1,1), C= (0,1) %3D is mapped to the parallelogram II with the vertices O = (0,0), A1 = (1, 1/2), B1 = (3/2,3/2), C1 = (1/2, 1). %3D What is the area of the parallelepiped II.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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b. Find a transformation T: R² → R² such that the square Q with the vertices
at points
O = (0,0), A = (1,0), B = (1, 1), C= (0,1)
is mapped to the parallelogram II with the vertices
O = (0,0), A1 = (1, 1/2), B1 = (3/2,3/2), C1 = (1/2, 1).
What is the area of the parallelepiped II.
Transcribed Image Text:b. Find a transformation T: R² → R² such that the square Q with the vertices at points O = (0,0), A = (1,0), B = (1, 1), C= (0,1) is mapped to the parallelogram II with the vertices O = (0,0), A1 = (1, 1/2), B1 = (3/2,3/2), C1 = (1/2, 1). What is the area of the parallelepiped II.
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