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determinant_of_a_3x3_matrix

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determinant_of_a_3x3_matrix [2015/03/23 12:03] rupertdeterminant_of_a_3x3_matrix [2015/03/24 10:05] (current) rupert
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-If $A=\mat{a_{11}&a_{12}&a_{13}\\a_{21}&a_{22}&a_{23}\\a_{31}&a_{32}&a_{33}}$ is a $3\times 3$ matrix, then +If $\def\mat#1{\begin{bmatrix}#1\end{bmatrix}}A=\mat{a_{11}&a_{12}&a_{13}\\a_{21}&a_{22}&a_{23}\\a_{31}&a_{32}&a_{33}}$ is a $3\times 3$ matrix, then 
 \[\det A=a_{11}C_{11}+a_{12}C_{12}+a_{13}C_{13}.\] \[\det A=a_{11}C_{11}+a_{12}C_{12}+a_{13}C_{13}.\]
 Here $C_{ij}$ are the [[cofactors]] of $A$. Here $C_{ij}$ are the [[cofactors]] of $A$.
determinant_of_a_3x3_matrix.1427112216.txt.gz · Last modified: by rupert

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