Matrices

The value of a _____ does not change when rows and columns are interchanged.

Inverse of a square matrix is ____ if it exists

If A be any square matrix,then AA' and A'A will be both

Transpose of an orthogonal matrix is ______

A square matrix A= $\left[a_{ij}\right]_{n\times n}$  is _______ iff  $\overline{a_{ij}}\ =a_{ji}$  

The rank of zero matrix is _______

The rank of every non-singular matrix of order n is _____

If A and B are two n-rowed square matrices, then  $\rho\left(AB\right)---\rho\left(A\right)+\rho\left(B\right)-n$  

Let AX=B be a system of m linear equations in n variables.If |A|=0 and adj(A).B=0,then the system is __________

If in a set of vectors any vector of the set is the linear combination of the remaining vectors, then the vectors are