If `A = [(1),(2),(3)], B= [2 - 3, 4]`, find AB,

If A=[(1,2),(3,4)], B=[(2,1),(4,3)] , find (A-B)(A+B) and A^2-B^2 .

If A=[(1,1),(1,1)] and B=[(2,-1),(0,1)] , find 2A+3B .

If A=[(5),(2),(7)] and B=[6 -4 3] , then verify that (AB)^(T) =B^(T) A^(T) .

If A (1,2,3), B (-1,2, -3), C (1 , -2, 3) and D (-1, -2, -3) are points in space, then find the angle between the directed lines vec(AB) and vec(CD).

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

If A=[(1,2),(3,4)] , find a matrix B such that AB=I .

Find A+B,A-B,B-A,AB and BA whichever exists, given A=[(3,12),(2,13)], B=[(1,2),(3,1),(2,3)]

If A=[(2,0),(1,4)] and B=[(-1,2),(3,0)] , then find (AB)'.