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For each of the following subexercises, construct a 2 2 matrix that would represent the given linear transformation. a. Rotate a vector in R2 by
For each of the following subexercises, construct a 2 2 matrix that would represent the given linear transformation. a. Rotate a vector in R2 by /3 radians clockwise. b. Reflect a vector in R2 across the line y = x. c. Stretch the x component of a vector in R2 by two and contract its y component by 1 2
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