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Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.1: Introduction To Linear Transformations
Problem 48E: For the linear transformation T:R2R2 given by A=[abba] find a and b such that T(12,5)=(13,0).
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ya
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.
Transcribed Image Text:ya 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.
Linear transformations can be used in computer graphics to modify certain shapes. Consider the
linear transformation T: R → R below such that T(A)= B, where A represents the square
and B the parallelogram below.
1+
B
2.
T.
Transcribed Image Text:Linear transformations can be used in computer graphics to modify certain shapes. Consider the linear transformation T: R → R below such that T(A)= B, where A represents the square and B the parallelogram below. 1+ B 2. T.
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