<div class="dem">
<center>\( {\rm det }(A_1,...,\special{color=red}A_j\special{color=black}+
\special{color=blue}A_{m}\special{color=black},...,
\special{color=blue}A_m\special{color=black}, ..., A_n
)={\rm det }(A_1,...,\special{color=red}A_j\special{color=black},...,
\special{color=blue}A_k\special{color=black}, ..., A_n
))+
\(
{\rm det }(A_1,...,\special{color=blue}A_{m}\special{color=black},
\special{color=blue}A_m\special{color=black}, ..., A_n
)
)
</center>
<p>
<div class="aide"> d'aprs <font color="brown">\((D1))</font>, </div>
<center>
\(= {\rm det }(A_1,...,\special{color=red}A_j\special{color=black},...,
\special{color=blue}A_m\special{color=black}, ..., A_n
))
</center>
<p>
<div class="aide"> d'aprs <font color="brown">\((D2))</font>. </div>


</div>