Recall that just recently, we learnt matrices encode the information of a bigger structure "linear transformations". Think over the lines that if A is a linear transformation then what does Av=Av represent and can we make sense of it visually? (-x, y) T(x) X (-x, y) (x, y) B Let us dive into one of the linear transformation (matrix) which you found in the previous lab, for the reflection 91 Geometrically, the impact of this linear transformation is depicted below. Find the eigenvalues and eigenvectors T(x) X Loun (x, y) Clearly make sense of the two eigenvectors found in the last question. Use geometrical understanding. X

Elementary Linear Algebra (MindTap Course List)
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ISBN:9781305658004
Author:Ron Larson
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Chapter6: Linear Transformations
Section6.3: Matrices For Linear Transformations
Problem 50E
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Answer by hand and show all steps. Eigenvalues & Eigenvectors

A
Recall that just recently, we learnt matrices encode the information of a bigger structure "linear transformations". Think over the lines that if A is a linear
transformation then what does Av=Av
represent and can we make sense of it visually?
mate
(-x, y)
T(x)
X
(x, y)
B
Let us dive into one of the linear transformation (matrix) which you found in the previous lab, for the reflection
X
Geometrically, the impact of this linear transformation is depicted below. Find the eigenvalues and eigenvectors
(-x, y)
(x, y)
Lone
X
Clearly make sense of the two eigenvectors found in the last question. Use geometrical understanding.
T(x)
Transcribed Image Text:A Recall that just recently, we learnt matrices encode the information of a bigger structure "linear transformations". Think over the lines that if A is a linear transformation then what does Av=Av represent and can we make sense of it visually? mate (-x, y) T(x) X (x, y) B Let us dive into one of the linear transformation (matrix) which you found in the previous lab, for the reflection X Geometrically, the impact of this linear transformation is depicted below. Find the eigenvalues and eigenvectors (-x, y) (x, y) Lone X Clearly make sense of the two eigenvectors found in the last question. Use geometrical understanding. T(x)
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