[" Let "P" be a non-singular matrix such that "],[I+P+P^(2)+......+P^(n)=O" (where "O" denotes "],[" the null matrix),then "P^(-1)" is "]

Let P be a nonsingular matrix, and 1+ P + P^(2) + …….. + P^(n) = O , then find P^(-1) .

Let p be a non singular matrix,and I+P+p^(2)+...+p^(n)=0, then find p^(-1)

Let p be a non singular matrix, and I + P + p^2 + ... + p^n = 0, then find p^-1 .

Let p be a non singular matrix, and I + P + p^2 + ... + p^n = 0, then find p^-1 .

Let p be a non singular matrix, and I + P + p^2 + ... + p^n = 0, then find p^-1 .

Let P be an m xx m matrix such that P^(2)=P . Then (1+P)^(n) equals

If P is non-singular matrix, then value of adj (P^(-1)) in terms of P is

Suppose A and B be two ono-singular matrices such that AB= BA^(m), B^(n) = I and A^(p) = I , where I is an identity matrix. The relation between m, n and p, is

Suppose A and B be two ono-singular matrices such that AB= BA^(m), B^(n) = I and A^(p) = I , where I is an identity matrix. The relation between m, n and p, is