(4a) Find the matrix of T. (4b) Apply the linear transformation T to C (the triangle below) and plot D = T(C)? (4c) Does the linear transformation T preserve the area in the two examples shown? Does it preserve the perimeter?
(4a) Find the matrix of T. (4b) Apply the linear transformation T to C (the triangle below) and plot D = T(C)? (4c) Does the linear transformation T preserve the area in the two examples shown? Does it preserve the perimeter?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question

Transcribed Image Text:Linear transformations can be used in computer graphics to modify certain shapes. Consider the linear
transformation T: R2 R2 below such that T(A) = B, where A represents the square and B the
parallelogram below.
1
1
B
1
1
y.
y
1
1
2 X
T

Transcribed Image Text:1
2 x
(4a) Find the matrix of T.
(4b) Apply the linear transformation T to C (the triangle below) and plot D =
= T(C)?
(4c) Does the linear transformation T preserve the area in the two examples shown? Does it preserve the
perimeter?
(4d) Does the linear transformation T preserve the area of every triangle? Does it preserve the perimeter
of every triangle? Justify your answers.
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