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LINEAR ALGBERA HELP . . Question: . Define a linear operator T: R2 R2 by T([x y]) = [cos sin -sin cos ] [x y]

LINEAR ALGBERA HELP

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Question:

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Define a linear operator T: R2 R2 by T([x y]) = [cos sin -sin cos ] [x y]

*Note: [cos sin ] would be first column and [-sin cos ] would be second column

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-Describe geometrically the action of T on a vector in R2.

Please explain your answer. Thanks!

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