Discussion Forum

 If A is non-singular matrix and (A+l)(A-l)  =0 then A+A^-1= ......

Answer:

Explanation:

We have, A is non -singular matrix

 $\therefore$   |A|=0

 and (A+l)(A-l)=0

$\Rightarrow$ A²-l²  =0

$\Rightarrow$     A²= l² =l

 $\Rightarrow$     A.A=l $\Rightarrow$  A^-1 = A

 $\therefore$ A+A^-1 = A+A=2A