If `A=[1,3]` and `B=[[3,-2,1,-3],[-1,4,-3,2]]`find AB.

If A=[[2,-1,3],[4,0,5]] and B=[[-3,-2,-1],[-5,5,1]] .Verify that 3(A+B)=3A+3B

If A=[[-1,2,1],[-3,2,-3]] and B=[[2,1],[-3,2],[-1,3]] , prove that (A+B^T)^T=A^T+B

If A=[[2,-1,3],[4,0,5]] and B=[[-3,-2,-1],[-5,5,1]] .Verify that (A+B)'=A'+B'

If A=[[2,-1,3],[4,0,5]] and B=[[-3,-2,-1],[-5,5,1]] .Verify that (A-B)'=A'-B'

If A=[[5,4],[-2,3]] and B=[[-1,3],[4,-1]] ,then find C^T such that 3A-2B+C=I ,where I is the unit matrix of order 2.

Answer the following questions.If A=[[1,2],[3,2],[-1,0]] and B=[[,1,3,2],[4,-1,-3]] ,show that AB is singular matrix.

If X+Y=[[2,-1],[1,3],[-3,2]] and X-2Y=[[-2,-1],[-3,-1],[4,-2]] find X and Y.

Answer the following questions. If A=[[2,1,-3],[0,2,6]],B=[[1,0,-2],[3,-1,4]] ,find AB^T and A^TB

Find the inverse of A=[[1,3,3],[1,4,3],[1,3,4]] and B = [[1,2,3],[1,1,5],[2,4,7]] then, find a matrix X such that XA = B .

If A=[[-1,2],[4,-3],[5,6]] and B=[[0,3,5],[4,2,6]] find AB and BA.