Question

Encontre o determinante de cada matriz

Answer 1

Resposta:

72

Explicação passo-a-passo:

$\left[\begin{array}{cccc}0&0&0&3\\-1&2&-1&4\\3&4&6&-1\\2&0&4&1\end{array}\right]$

det(A)= a11 . a11 - a12 . a12 + a13 . a13 - a14 . a14

A11= $\left[\begin{array}{ccc}2&1&4\\4&6&-1\\0&4&1\end{array}\right]$ = 80

A12= $\left[\begin{array}{ccc}-1&-1&4\\3&6&-1\\2&4&1\end{array}\right]$ = -15

A13= $\left[\begin{array}{ccc}-1&2&4\\3&4&-1\\2&0&1\end{array}\right]$ = -46

A14= $\left[\begin{array}{ccc}-1&2&1\\3&4&6\\2&0&4\end{array}\right]$ = -24

det(A)= (0.80) - (0.-15) + (0.-46) - (3.-24)= 72