Matrix Rotation & Reflection: pi/3 (60°)

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The discussion focuses on determining matrices for specific linear transformations: rotating a vector by π/3 (60 degrees) anticlockwise and reflecting a vector in the y-axis. The rotation matrix for π/3 is established as [[cos(π/3), -sin(π/3)], [sin(π/3), cos(π/3)]], which simplifies to [[0.5, -√3/2], [√3/2, 0.5]]. The reflection matrix in the y-axis is defined as [[-1, 0], [0, 1]]. The combined transformation involves applying the rotation matrix followed by the reflection matrix.

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1. a) Determine the matrix that will rotate a vector pi/3(=60degrees) anticlockwise.
b) Determine the matrix that will reflect a vector in the y-axis.
c) Determine the matrix that will rotate a vector pi/3 anticlockwise. then reflect the resulting vector in the y-axis.



2. N/A



3. I have to be hones.. I DONT GET THIS
 
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What do you know about representing linear transformations by matrices? (In future, show some kind of attempt, so that we know you have atleast tried thinking about the problem. It is PF policy not to provide help to people who don't show an attempt.)

Welcome to PF.
 


Ok thanks! I'm screwed!
 

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