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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 = *

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 = *

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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