Question

Através do Teorema de Jacobi, descubra a determinante da matriz:

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

Answer 1

$\left[\begin{array}{cccccccc}1&2&3&4&|1&2&3\\0&-1&2&2&|0&-1&2\\2&1&3&1&|2&1&3\\2&0&1&3&|2&0&1\end{array}\right] \\ 1.(-1).3.3 +2.2.1.2+3.2.2.0 +4.0.1.1-2.1.2.4-0-0-3.2.(-1).3 = -9 +8+0+0-16 -0-0+18= 1$