7. Consider the 2 x 2 matrix A over C with det(A) = 1. %3D (i) Find the inverse of A. (ii) Let v be a normalized vector in C2. Is the vector Av normalized? (iii) Let 1 E = -1 0 Calculate AEAT. (iv) Let B be a 2 x 2 matrix over C with det(B) = 1. Find the 4 x 4 matrix (A® B)(E ® E)(A® B)". %3D

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