1) a)Suppose that A is a square matrix of size n*n such that A^2011 = 0. Show that

the matrix A+In is invertible and find an expression for (A + In)^-1 in terms of A.

(In is a identity matrix with n*n dimensions)

b) Let A be a matrix of size 50 *49 and B a matrix of size 49* 50 matrix. Show that

the matrix AB is not invertible. Give an example of matrices A and B for which BA

is invertible

Can I get some help with there questions please? Having a hard time getting my head around them