If `A=[(1,1,3),(5,2,6),(-2,-1,-3)],` where `A^(x)=O` (where, O is a null matrix and `x lt 15, x in N)` then which of the following is true?

If a_(0)=x,a_(n+1)=f(a_(n)), " where " n=0,1,2, …, then answer the following questions. If f(x)=(1)/(1-x), then which of the following is not true?

If A = ({:( 1,2,3),( 2,1,2),( 2,2,1) :}) and A^(2) -4A -5l =O where I and O are the unit matrix and the null matrix order 3 respectively if , 15A^(-1) =lambda |{:( -3,2,3),(2,-3,2),(2,2,-3):}| then the find the value of lambda