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could you help me with explanation or proof Problem 3. (30 points) Give the space Mat2x2(RR) the inner product defined by 011 212 by 612

could you help me with explanation or proof

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Problem 3. (30 points) Give the space Mat2x2(RR) the inner product defined by 011 212 by 612 a21 022 621 b22 = allbl1 + a12612 + a21621 + a22622. Given a matrix A all a12 a21 022 , determine (with proof) an explicit formula for the symmetric matrix B which is closest to A in the sense of the inner product

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