Fie [tex]A(x)=\left([tex]\begin{array}{cc}1-2 x & 2 x \\ x & 1+x\end{array}\right), x \in \mathbb{R}[/tex]. Arătați că:[/tex]

[tex]A(x) A(y)=A(1-(1-x)(1-y)), x, y \in \mathbb{R}[/tex];