Question

Calcular la determinante de:

D= [ 10 47 59]

[ 0 10 91]

[ 3 0 10]

Answer 1

Respuesta:

12061

Explicación paso a paso:

$D=\left[\begin{array}{ccc}10&47&59\\0&10&91\\3&0&10\end{array}\right]=(10\times10\times10)+(47\times91\times3)+(59\times0\times0)\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ -(59\times10\times3)-(47\times0\times10)-(10\times0\times91)\\\\\\D=\left[\begin{array}{ccc}10&47&59\\0&10&91\\3&0&10\end{array}\right]=1000+12831+0-1770-0-0\\\\\\\\\\\boxed{D=\left[\begin{array}{ccc}10&47&59\\0&10&91\\3&0&10\end{array}\right]=12061}$