Question

Usando o Teorema de Laplace encontre o determinante de M =
2 4 6
5 9 8
7 2 1

Answer 1

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$\tt{M}=\begin{bmatrix}\sf{2}&\sf{4}&\sf{6}\\\sf{5}&\sf{9}&\sf{8}\\\sf{7}&\sf{2}&\sf{1}\end{bmatrix}$

$\sf{det~M=2\cdot(9-16)-4\cdot(5-56)+6\cdot(10-63)}\\\sf{det~M=2\cdot(-7)-4\cdot(-51)+6\cdot(-53)}\\\sf{det~M=-14+204-318}\\\sf{det~M=-128}$