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Determinant




For a fixed positive integer ''n'', there is a unique determinant function for the ''n''×''n'' matrices over any Commutative Ring ''R''. In particular, this function exists when ''R'' is the Field of Real or Complex Number s.

  The Volume Of Any "http://wwwinformationdelightinfo/encyclopedia/entry/Vrhbosna/tetrahedron" class="copylinks">Tetrahedron , given its vertices '''a''', '''b''', '''c''', and '''d''', is (1/6)&middot Det ('''a'''&minus'''b''', '''b'''&minus'''c''', '''c'''&minus'''d'''), or any other combination of pairs of vertices that form a simply connected Graph