1. The matrix A = 1 1 1 團 represents a linear function T: R² → R² which reflects over the line y=x. Thinking geometrically, what do you conjecture are the eigenvalues/eigen- vectors of A? Check your answer using the usual algebraic techniques. y = *

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.1: Eigenvalues And Eigenvectors
Problem 77E
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1. The matrix A =
1
1
1
團
represents a linear function T: R² → R² which reflects over
the line y=x. Thinking geometrically, what do you conjecture are the eigenvalues/eigen-
vectors of A? Check your answer using the usual algebraic techniques.
y =
*
Transcribed Image Text:1. The matrix A = 1 1 1 團 represents a linear function T: R² → R² which reflects over the line y=x. Thinking geometrically, what do you conjecture are the eigenvalues/eigen- vectors of A? Check your answer using the usual algebraic techniques. y = *
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