y U(v) 4 2 -2 6. -2 An important linear transformation in calculus is the reflection U in the line y = x, since this corresponds to taking the inverse of a function. For example U( 1 |3| and in general %3D The matrix that represents U is A = ? This matrix has the property that A as do all 2 x 2 reflection matrices. - H -+T H-

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 47E
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y
U(v)
4
2
-2
2
4
6.
-2
An important linear transformation in calculus is the
reflection U in the line y = x, since this corresponds to
taking the inverse of a function.
For example
U(
1
and in general
The matrix that represents U is
A =
?
This matrix has the property that A
as do all 2 x 2 reflection
matrices.
- H -+T H-
Transcribed Image Text:y U(v) 4 2 -2 2 4 6. -2 An important linear transformation in calculus is the reflection U in the line y = x, since this corresponds to taking the inverse of a function. For example U( 1 and in general The matrix that represents U is A = ? This matrix has the property that A as do all 2 x 2 reflection matrices. - H -+T H-
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