Referring to A and B in 8, show that the mapping A, B = a11b22 + a12b21 + a21b12 +
Chapter 5, Problem 10(choose chapter or problem)
Referring to A and B in 8, show that the mapping A, B = a11b22 + a12b21 + a21b12 + a22b11 does not define a valid inner product on M2(R). Which of the four properties of an inner product, if any, do hold? Justify your answer.
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