Question

Calcule o valor dos determinantes de ordem 2:
a) $\left[\begin{array}{ccc}a&a+1&\\b&b+1&&\end{array}\right]$

b)$\left[\begin{array}{ccc}1+ \sqrt{5} &3&\\4&1- \sqrt{5} &\\&&\end{array}\right]$

c) $\left[\begin{array}{ccc}0& \frac{1}{2} &\\-1& \frac{1}{2} &\\&&\end{array}\right]$

Answer 1

{[( 0 • 1/2) + (1/2 • (-1)) + (0 • 1/2)] - [(1/2 • (-1) - (0 • 1/2) - (1/2 • (-1)]}
[(0) + (-1/2) + (0)] - [(-1/2) - (0) - (-1/2)]
(-1/2) - (-1/2) - (-1/2)
0 + 1/2
1/2
Resposta: O determinante da matriz em questao e 1/2.