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

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The discussion focuses on determining matrices for specific linear transformations: rotating a vector by 60 degrees anticlockwise, reflecting a vector in the y-axis, and performing both transformations sequentially. Participants emphasize the importance of showing attempts at solving problems to receive assistance, adhering to forum policy. One user expresses frustration and confusion regarding the topic, indicating a lack of understanding of matrix representations for linear transformations. The conversation highlights the need for foundational knowledge in linear algebra to tackle these matrix operations effectively. Overall, understanding matrix operations is crucial for successfully applying transformations in vector spaces.
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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!
 
Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

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