Let T : R? H R³ be defined by х — у T 2х x + y. and S : R2 H R² be a counterclockwise rotation through an angle of 0 = 2x/3. Find the matrix of T and the matrix of the composite transformation T• S.
Let T : R? H R³ be defined by х — у T 2х x + y. and S : R2 H R² be a counterclockwise rotation through an angle of 0 = 2x/3. Find the matrix of T and the matrix of the composite transformation T• S.
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 : R? H R’ be defined by
X -
— у
T
2х
х+у
and S : R2 H→ R² be a counterclockwise rotation through an angle of 0 = 2r/3. Find the matrix of T and
the matrix of the composite transformation T • S.
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