Do not use any spaces when you input your coordinates Tis the shear represented by the linear transformation T(x, y) = (x, y+2x). 1. for each of the corners of the rectangle with vertices at (0, 0), (3, 0), (3, 5), and (0, 5), give the coordinates of the image under this shear. T(0,0) = T(3,0) = T(3,5) = T(0,5) = 2. Find all fixed points of this linear transformation. Recall that the vector v is a fixed point of T when T(v) = v. (Give your answer in terms of the parameter t, with a comma between your numbers.) : tis real }
Do not use any spaces when you input your coordinates Tis the shear represented by the linear transformation T(x, y) = (x, y+2x). 1. for each of the corners of the rectangle with vertices at (0, 0), (3, 0), (3, 5), and (0, 5), give the coordinates of the image under this shear. T(0,0) = T(3,0) = T(3,5) = T(0,5) = 2. Find all fixed points of this linear transformation. Recall that the vector v is a fixed point of T when T(v) = v. (Give your answer in terms of the parameter t, with a comma between your numbers.) : tis real }
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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Transcribed Image Text:Do not use any spaces when you input your coordinates
Tis the shear represented by the linear transformation T(x, y) = (x, y+2x).
1. for each of the corners of the rectangle with vertices at (0, 0), (3, 0), (3, 5), and (0, 5), give the
coordinates of the image under this shear.
T(0,0) =
T(3,0) =
T(3,5) =
T(0,5) =
2. Find all fixed points of this linear transformation. Recall that the vector v is a fixed point of T
when T(v) = v. (Give your answer in terms of the parameter t, with a comma between your numbers.)
: tis real }
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