Question: 2. Let V = M2x2(R), and A, BE V. Answer the following questions: (a) Show that (A. B) = tr(AB) defines an inner product on

2. Let V = M2x2(R), and A, BE V. Answer the following questions: (a) Show that (A. B) = tr(A"B) defines an inner product on M2x2(R). (b) Determine whether the set B= ], 3 . 0 ]} is orthonormal in the inner product space M2x2(R) with the given inner product. (c) Change the elements in B such that it forms an orthonormal basis in the inner product space M2x2(R) with the given inner product

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