Question

Determine o valor de cada determinante 1 0 0 3 -4 2 1 -6 7?

Answer 1

$\boxed{\begin{array}{l}\sf Calcule~o~valor~do~(det) \!\!:\left[ \begin{array}{ccc}\sf1&\sf0&\sf0\\\sf3&\sf-4&\sf2\\\sf1&\sf-6&\sf7\end{array} \right] \\\\\sf det=\left|\begin{array}{ccc}\sf1&\sf0&\sf0\\\sf3&\sf-4&\sf2\\\sf1&\sf-6&\sf7\end{array} \right|\left|\begin{array}{cc}\sf1&\sf0\\\sf3&\sf-4\\\sf1&\sf-6\end{array}\right|\\\\\sf det=[-28+0+0]-[0-12+0]\\\sf det=[-28+0]-[-12+0]\\\sf det=[-28]-[-12]\\\sf det=-16~\checkmark \end{array}}$