Find the standard matrix for the following composition in

Leonel Contreras

Leonel Contreras

Answered question

2022-06-21

Find the standard matrix for the following composition in R 2 :
A reflection about the x-axis followed by a rotation of π 6

Answer & Explanation

Carmelo Payne

Carmelo Payne

Beginner2022-06-22Added 25 answers

T : R 2 R 2 is given by: [ 1 0 0 1 ] [ cos π 6 sin π 6 sin π 6 cos π 6 ] = [ 3 2 1 2 1 2 3 2 ]
T A ( x , y ) = ( x , y )
T B ( x , y ) = ( x cos π 6 y sin π 6 , x sin π 6 + y cos π 6 )
T B ( T A ( x ) ) = [ T B ] [ T A ] .

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