Question

Resolva por "diagonalização" o determinante |a b b b|
|a a b b|
|a a a b|
|a a a a|

Answer 1

$\left[\begin{array}{cccc}a&b&b&b\\a&a&b&b\\a&a&a&b\\\a&a&a&a&a\end{array}\right] \left \begin{array}{cccc}a&b\\a&a&\\a&a&\\a&a& \end{array}\right$


$a^4-a*b^3+3*a^2*b^2-3*a^3*b \\ \\ \\=\ \textgreater \ a^4-ab^3+3a^2*b^2-3a^3b$