Question: Hi, I need help on this question for Linear Algebra. Thanks! (a) Find a linear transformation T : R2 > R2 that reects a vector

Hi, I need help on this question for Linear Algebra. Thanks!

(a) Find a linear transformation T : R2 > R2 that reects a vector (say) across the yaxis. Give the matrix T(x) = Ax of this transformation, and draw the image of the unit square under this transformation. (b) Find a linear transformation 8 : R2 > R2 that rotates a vector (xyy) counter clockwise by 60. Give the matrix S (x) = Bx of this transformation, and draw the image of the unit square under this transformation. (c) Find the matrix M representing the linear transformation that rst rotates a vector as in (b), then reects a vector as in (a), then rotates a vector by 60 clockwise. You may use your answers from (a) and (1)). Draw the image of the unit square under this transformation. ((1) Using the geometric descriptions of the transformations, without actually multi- plying them out, nd the smallest positive integers In and k2 such that A'\"1 = I and B"62 = 1. Using these, nd the smallest positive integer k3 such that M *3 =

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