Let T be the linear transformation that is reflection across the line y = √√8x in R² followed by a stretch by a factor of 2. a. Find the eigenvalues and eigenvectors for T. b. Find the (standard) matrix for T. Hint for b. Use diagonalization.
Let T be the linear transformation that is reflection across the line y = √√8x in R² followed by a stretch by a factor of 2. a. Find the eigenvalues and eigenvectors for T. b. Find the (standard) matrix for T. Hint for b. Use diagonalization.
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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Transcribed Image Text:Let T be the linear
transformation
that is
reflection across the line y = √√8x in R²
followed by a stretch by a factor of 2.
a. Find the eigenvalues and eigenvectors
for T.
b. Find the (standard) matrix for T.
Hint for b. Use diagonalization.
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