Question: question 3 and 4 3. [15 marks] In M2x2(C) with inner product (A, B) = tr(B* A). a) Find the norm of 3 2 b)

question 3 and 4

3. [15 marks] In M2x2(C) with inner product (A, B) = tr(B* A). a) Find the norm of 3 2 b) Compute the projection of 6 2:| onto [ 1 27 O 3i c) Find two matrices that are perpendicular to 0 2i and perpendicular to each other. 4. [5 marks] Use the three properties of a complex inner product to show that in a complex inner product space V, (u, cv) = c(u, v) for all complex numbers c and vectors u and v in V

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