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

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 such that I+P+P^(2)+…….P^(n)=O (where O denotes the null matrix), then P^(-1) is

Let omega be a complex cube root of unity with omegane1 and P = [p_ij] be a n × n matrix with p_(ij) = omega^(i+j) . Then P^2ne0, , when n =

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

Let omega be a complex cube root of unity with omega ne 0 and P=[p_(ij)] be an n x n matrix with p_(ij)=omega^(i+j) . Then p^2ne0 when n is equal to :