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    Linear Algebra and Matrices : Determinant Functions

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    Let R be the field of real numbers, and let D be a function on matrices over R, with values in R, such that Suppose that .

    (a) Prove that .
    (b) if
    (c) if B is obtained by interchanging the rows (or columns) of A.

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    Solution Summary

    Determinant functions are investigated. Linear algebra matrices for determinant functions are given.