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<u><font color="#000000" size="3">Determinante de orden uno</font></u><br />
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<img src="http://latex.codecogs.com/gif.latex?\begin{vmatrix}%20a_{11}%20\end{vmatrix}=a_{11}" title="\begin{vmatrix} a_{11} \end{vmatrix}=a_{11}" /><br />
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<img src="http://latex.codecogs.com/gif.latex?%5Cbegin%7Bvmatrix%7D%20-2%20%5Cend%7Bvmatrix%7D=-2" title="\begin{vmatrix} -2 \end{vmatrix}=-2" />
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<font size="3"><u>Determinante de orden dos</u></font><br />
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<img src="http://latex.codecogs.com/gif.latex?%5Cbegin%7Bvmatrix%7D%20a_%7B11%7D%20&a_%7B12%7D%20%5C%5C%20a_%7B21%7D%20&%20a_%7B22%7D%20%5Cend%7Bvmatrix%7D=a_%7B11%7Da_%7B22%7D-a_%7B12%7Da_%7B21%7D" title="\begin{vmatrix} a_{11} &a_{12} \\ a_{21} & a_{22} \end{vmatrix}=a_{11}a_{22}-a_{12}a_{21}" />
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Ejemplo:
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<img src="http://latex.codecogs.com/gif.latex?%5Cbegin%7Bvmatrix%7D%202&%203%5C%5C%20-1%20&%202%20%5Cend%7Bvmatrix%7D=2x2-[[-1]3]=4+3=7" title="\begin{vmatrix} 2& 3\\ -1 & 2 \end{vmatrix}=2x2-[[-1]3]=4+3=7" />
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<font size="3"><u>Determinante de orden tres</u>
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Se aplica la regla de Sarrus:<br />
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<img src="http://latex.codecogs.com/gif.latex?A=%5Cbegin%7Bvmatrix%7D%20a_%7B11%7D%20&%20a_%7B12%7D%20&%20a_%7B13%7D%5C%5C%20a_%7B21%7D%20&a_%7B22%7D%20&%20a_%7B23%7D%5C%5C%20a_%7B31%7D%20&%20a_%7B32%7D%20&%20a_%7B33%7D%20%5Cend%7Bvmatrix%7D" title="A=\begin{vmatrix} a_{11} & a_{12} & a_{13}\\ a_{21} &a_{22} & a_{23}\\ a_{31} & a_{32} & a_{33} \end{vmatrix}" />
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Ejemplo:
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<img src="http://latex.codecogs.com/gif.latex?%5Cbegin%7Bvmatrix%7D%201&%202%20&3%5C%5C%201%20&%201&-1%5C%5C%202%20&%200%20&5%20%5Cend%7Bvmatrix%7D=1x1x5+2%28-1%29x2+3x1x0-3x1x2-2x1x5-1x0x%28-1%29=5-4+0-6-10+0=-15" title="\begin{vmatrix} 1& 2 &3\\ 1 & 1&-1\\ 2 & 0 &5 \end{vmatrix}=1x1x5+2(-1)x2+3x1x0-3x1x2-2x1x5-1x0x(-1)=5-4+0-6-10+0=-15" />
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<b><font color="#ff0000" size="3">Ejercicios resueltos orientativos </font></b>
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