Question

Calcule o valor do determinante aplicando a regra de sarrua

Answer 1

$\boxed{\begin{array}{l}\rm Calcule~o~valor~do~determinante,\\\rm aplicando~a~regra~de~Sarrus\,(Sarri):\\\begin{vmatrix}\sf2&\sf3&\sf1\\\sf4&\sf-2&\sf1\\\sf2&\sf2&\sf1\end{vmatrix}.\end{array}}$

$\boxed{\begin{array}{l}\underline{\rm soluc_{\!\!,}\tilde ao:}\\\begin{vmatrix}\sf2&\sf3&\sf1\\\sf4&\sf-2&\sf1\\\sf2&\sf1&\sf1\end{vmatrix}\begin{vmatrix}\sf2&\sf3\\\sf4&\sf-2\\\sf2&\sf1\end{vmatrix}\\\sf 2\cdot(-2)\cdot1+3\cdot1\cdot2+1\cdot4\cdot1-3\cdot4\cdot1-2\cdot1\cdot1-1\cdot(-2)\cdot2\\\sf- \diagdown\!\!\!\!\!\!4+6+4-12-2+\diagdown\!\!\!\!\!\!4=-4\end{array}}$