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Determinant
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===Transpose=== The determinant of the [[transpose]] of <math>A</math> equals the determinant of ''A'': :<math>\det\left(A^\textsf{T}\right) = \det(A)</math>. This can be proven by inspecting the Leibniz formula.<ref>{{harvnb|Lang|1987|loc=Β§VI.7, Theorem 7.5}}</ref> This implies that in all the properties mentioned above, the word "column" can be replaced by "row" throughout. For example, viewing an {{math|''n'' Γ ''n''}} matrix as being composed of ''n'' rows, the determinant is an ''n''-linear function.
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