Let T : R² → R² be the linear transformation that first rotates points clockwise through 60° (π/3 radians) and then reflects points through the line y = x. Find the standard matrix A for T. ((sqrt3))/2 1/2 A 1/2 -(sqrt(3))/2 =
Let T : R² → R² be the linear transformation that first rotates points clockwise through 60° (π/3 radians) and then reflects points through the line y = x. Find the standard matrix A for T. ((sqrt3))/2 1/2 A 1/2 -(sqrt(3))/2 =
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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Let T:R2→R2T:R2→R2 be the linear transformation that first rotates points clockwise through 60∘60∘ (π/3π/3 radians) and then reflects points through the line y=xy=x. Find the standard matrix AA for TT.
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Transcribed Image Text:Let T : R² → R² be the linear transformation that first rotates points clockwise through
60° (π/3 radians) and then reflects points through the line y = x. Find the standard
matrix A for T.
((sqrt3))/2
1/2
A
31
1/2
-(sqrt(3))/2
=
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