Matrix part 3

Let A be a matrix such that A* [(1 ,2) ,(0 ,3)] is a scalar matrix and |3A|=108 .Then A^(2) equals

In the matrix [[1,0,5],[2,-3,4]] order of matrix matrix is………

Let A = [a_(ij)] " be a " 3 xx3 matrix and let A_(1) denote the matrix of the cofactors of elements of matrix A and A_(2) be the matrix of cofactors of elements of matrix A_(1) and so on. If A_(n) denote the matrix of cofactros of elements of matrix A_(n -1) , then |A_(n)| equals

If [(3,5),(7,9)] is written as A + B, where A is the skew-symmetric matrix and B is the symmetric matrix, then write the matrix A.

A is a square matrix and I is an identity matrix of the same order. If A^(3)=O , then inverse of matrix (I-A) is

If A is 3xx3 matrix and u is a vector. If Au and u are thogonal for all real u, then matrix A is a

If A is a 3xx3 matrix and B is a matrix such that A^TB and BA^(T) are both defined, then order of B is

If A is a 3x3 matrix and B is its adjoint matrix the determinant of B is 64 then determinant of A is