(c) What happens if you project x onto y twice? In other words, what is Px? (d) Describe geometrically the effect of the linear operator whose matrix representation is 2Py I. Compute this matrix and apply the transformation to x. (e) Draw the vectors x, y, Pyx, and (2P, – I)x in the plane. Given a vector y E R", the matrix yyT Py = E R"xn yTy %3D is the matrix representation of the linear operator that projects onto y. X y y yy"x y'y yy"x y'y X Suppose that 2

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