Let `A=[(2,-1),(3,4)], B=[(5,2),(7,4)], C=[(2,5),(3,8)]`. Find a matrix D such that `CD=AB`.

Let A=[(2,4),(3,2)], B=[(1,3),(-2,5)], C=[(-2,5),(3,4)] Find each of the following: (i) A+B (ii) A-B (iii) 3A-C (iv) AB (v) BA

If A=[(8,0),(4,-2),(3,6)] and B=[(2,-2),(4,2),(-5,1)] , then find the matrix X, such that 2A+3X=5B .

If A = [(4,-1),(0,3)], B = [(1,2),(-1,3)] and C = [(1, -2),(3,5)] verify that A(BC) = (AB)C .

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

If A=[[1,2,-3] , [5,0,2] , [1,-1,1]] and B=[[3,-1,2] , [4,2,5] , [2,0,3]] then find matrix C such that A+2C=B

If A=[(1,-2,3),(-4,2,5)] and B=[(2,3),(4,5),(2,1)] , then find AB, BA. Show that AB ne BA .

Let A={1,2,3,4,5}, B={4,5,6,7}. Find A-B.

A={1,2,3,4,5,6,7,8,9,10}, B={2,3,5,7}. Find A cap B

Let A={1,3,7,8} and B={2,4,7,9}. Find A cap B