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

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 .

A square matrix P satisfies P^(2)=I-p where I is the identity matrix and p^(x)=5I-8p, then x

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. If m = 2 and n = 5 then p equals to

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. If m = 2 and n = 5 then p equals to