The maximum order of the non singular square submatrices of given matrix is called

If A and B are non-singular square matrices of same order then adj(AB) is equal to

Let A be a non-singular square matrix of order 3xx3 . Then |adjA| is equal to

For a given square matrix A ,if there exists a matrix B such that AB=BA=1 then B is called inverse of A Every non - singular square matrix possesses inverse and it exists if |A|!=0,A^(-1)=(adj(A))/(det(A))rArr adjA=|A|(A^(-1)) Let a matrix A= [[2,3],[1,2]] then A^(-1) will be

If the product of two non null square matrices is a null matrix; show that both of them must be singular matrices.

If A and adj A are non-singular square matrices of order n, then adj (A^(-1))=

If A;B are non singular square matrices of same order; then adj(AB)=(adjB)(adjA)

If A is square matrix is called singular matrix if

If A is a matrix such that there exists a square submatrix of order r which is non-singular and eveny square submatrix or order r + 1 or more is singular, then

If the determinant of a square matrix is non-zero, then the matrix is called a ____matrix.