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2, 18 points] Let V be the vector space of 2 x 2 matrices, and define an inner product on V by (A, B)- Tr(ABT)

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2, 18 points] Let V be the vector space of 2 x 2 matrices, and define an inner product on V by (A, B)- Tr(ABT) (you do not have to verify that this is an inner product). a) Let W be the subspace of V spanned by the vectors algorithm to find an orthonormal basis for W. some basis, then use Gram-Schmidt c) Let A-1-2 d) For the same matrix A, find 2 x 2 matrices B in W and C in W so that A-B+ C. and l Use the Gram-Schmidt !. Find the vector in w which has the smallest distance to A

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