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Question: 1let a be an n x n real matrix suppose...

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1-Let A be an n x n real matrix. Suppose that A is symmetric positive definite. Prove that the rule defines an inner product on R. That is, show that the above rule satisfies the five defining properties of an inner product. Remark. Note that the standard inner product in R is a special case of the above rule: it is obtained by setting A -I; indeed,

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