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Let 2 = j, 22 = 2j, z3 = 2+2j be complex numbers in the complex plane. Triangle 212223 is rotated about the origin

Let 2 = j, 22 = 2j, z3 = 2+2j be complex numbers in the complex plane. Triangle 212223 is rotated about the origin by angle = and then trans- lated by a vector zo = 1- j and finally rotated again about the origin by angle -75/2. (a) Find the vertices of the obtained triangle z2223 (b) Find a linear transformation that maps triangle z back to triangle 212223. =

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