Rank of the following `(n+1)xx(n+1)` matrix, where a is a real number, is

Given that N = 2^(n)(2^(n+1) -1) and 2^(n+1) - 1 is a prime number, which of the following is true, where n is a natural number.

Given that N = 2^(n)(2^(n+1) -1) and 2^(n+1) - 1 is a prime number, which of the following is true, where n is a natural number.

(a.A)^(-1)=1/a.A^(-1) where a is any real number and A is square matrix

int_(n in N)(a*x^(n-1))/(bx^(n)+c)dx where a,b,c are real nuber

Let A be a nxxn matrix such that A ^(n) = alpha A, where alpha is a real number different from 1 and - 1. The matrix A + I_(n) is

Let A be a nxxn matrix such that A ^(n) = alpha A, where alpha is a real number different from 1 and - 1. The matrix A + I_(n) is

Let A be a nxxn matrix such that A ^(n) = alpha A, where alpha is a real number different from 1 and - 1. The matrix A + I_(n) is

Let A be a nxxn matrix such that A ^(n) = alpha A, where alpha is a real number different from 1 and - 1. The matrix A + I_(n) is