Analisi matematica/Determinanti e matrici: differenze tra le versioni
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Riga 15:
::::<math>\begin{vmatrix}a&b&c&d\\a'&b'&c'&d'\\a''&b''&c''&d''\\a'''&b'''&c'''&d'''\end{vmatrix}=</math>
:<math>\begin{vmatrix}a&b\\a'&b'\end{vmatrix}\begin{vmatrix}c''&d''\\c'''&d'''\end{vmatrix}-\begin{vmatrix}a&b\\a''&b''\end{vmatrix}\begin{vmatrix}c'&d'\\c'''&d'''\end{vmatrix}+\begin{vmatrix}a&b\\a'''&b'''\end{vmatrix}\begin{vmatrix}c'&d'\\c''&d''\end{vmatrix}+\begin{vmatrix}a'&b'\\a''&b''\end{vmatrix}\begin{vmatrix}c&d\\c'''&d'''\end{vmatrix}-</math>
::::::<math>\begin{vmatrix}a'&b'\\a'''&b'''\end{vmatrix}\begin{vmatrix}c&d\\c''&d''\end{vmatrix}+\begin{vmatrix}a''&b''\\a'''&b'''\end{vmatrix}\begin{vmatrix}c&d\\c'&d'\end{vmatrix}.</math>
===determinante di ordine n===
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