If matrix AB=0, then A=0 or B =0 or both A and B are null matrices.

If A.B =0 and AxxB =1 , then A and B are

6.If A and B are matrices with AB=0 and BA=0 ,then a) A=0 or B=0 b) Either A=0 or B=0 c) A=0 and B=O d) None of these.

If A is any mxn matrix and B is a matrix such that AB and BA are both defined, then B is a matrix of order

If A and B are square matrices such that A^(2020)=O and AB=A+B , then |B| is equal to (where, O is a null matrix)

If A dn B be 3xx3 matrices the AB=0 implies (A) A=0 or B=0 (B) A=0 and B=0 (C) |A|=0 or |B|=0 (D) |A|=0 and |B|=0

The matrix A= [[0, 0, 4] ,[0 ,4, 0] ,[4 ,0, 0]] is a (a) square matrix (b) diagonal matrix (c) unit matrix (d) none of these

Let A and B two symmetric matrices of order 3. Statement 1 : A(BA) and (AB)A are symmetric matrices. Statement 2 : AB is symmetric matrix if matrix multiplication of A with B is commutative.

Let A and B be two square matrices satisfying A+BA^(T)=I and B+AB^(T)=I and O is null matrix then identity the correct statement.

If A ,\ B are square matrices of order 3,\ A is non-singular and A B=O , then B is a (a) null matrix (b) singular matrix (c) unit matrix (d) non-singular matrix

Match the following {:(,"Column-I",,"Column-II",),((A),"If A and B are otthogonal, then AB is",(p),"Zero matrix",),((B),"If A and B are nilpotent matrices of order r and s and A and B commute, then "(AB)^(r)"is",(q),"Nilpotent matrix",),((C),"If A is a hermitian matrix such that "A^(2)=0", then A is ",(r),"Unitary matrix",),((D),"If A and B are unitary matrices, then AB is",(s),"Orthogonal",):}