Q1. Consider the linear transformation that reflects a 2-vector about the line y = x. 20 (a) If the input vector is (Xin, Vin), what is the output vector? (b) Write down a matrix that corresponds to this linear transformation. (c) Geometrically, what happens if we apply this linear transformation twice? How does the final output vector relate to the original input vector? (d) Express your answer to part (c) in terms of matrices and matrix multiplication