👤

Fie matricea X(a) = I[tex]_{2}[/tex] + aA, unde A=[tex]\left[\begin{array}{ccc}4&1\\4&1\\\end{array}\right][/tex]. Daca a∈R-{[tex]-\frac{1}{5}[/tex]}, demonstrati ca Matricea X[tex](\frac{a}{1+5a})[/tex] este inversa matricei X(a)