For the following pairs of matrices, determine the sum and difference, if they exist.
`1. A=((1,-1,2),(0,1,3))B=((2,1.5,6),(-3,2+i,0))`
`2.A=((1,0),(3,-4))B=((1,1,2),(0,-2,0))`

If A=[(2,3,1),(0,-1,5)] B=[(1,2,-1),(0,-1,3)] find 2A-3B

For each of the following pairs of matrices A and B, verify that (AB)'=(B'A'): (i) A=[{:(1,3),(2,4):}]" and "B=[{:(1,4),(2,5):}] (ii) A=[{:(3,-1),(-2,-2):}]" and "B=[{:(1,-3),(2,-1):}] A=[{:(-1),(2),(3):}]" and "B=[-2" "-1" "-4] (iv) A=[{:(-1," "2,-3),(4,-5," "6):}]" and "B=[{:(" "3,-4),(" "2," "1),(-1," "0):}]

Find AB and BA if exists from the following matrices A and B: (i) A=[{:(2,3,-1),(0,1,2):}]and B=[{:(2,-6),(-4,0):}] (ii) A=[{:(1,2,3),(0,1,-2),(-1,0,-1):}]and B=[{:(0,0,2),(2,0,0),(0,2,0):}] (iii) A=[{:(0,3,4),(2,1,-2),(1,-3,-1):}]and B=[{:(2,1,3),(-1,0,-2):}]

If A=[(1,-1,0),(2,3,4),(0,1,2)] and B =[(2,2,-4),(-4,2,-4),(2,-1,5)] , then :

For the following matrices, verify that A(BC)=(AB)C : (i) A=[{:(1,2,5),(0,1,3):}],B=[{:(2," "3,0),(1," "0,4),(1,-1,2):}]" and "C=[{:(1),(4),(5):}] (ii) A=[{:(2,3,-1),(3,0," "2):}],B=[{:(1),(1),(2):}]" and "C=[1-2]

Express the following as the sum of symmetric and skew - symmetric matrices : [(3,3,-1),(0,-2,1),(-4,-5,2)]

If A=[(1,-1,0),(2,3,4),(0,1,2)] and B=[(2,2,-4),(-4,2,-4),(2,-1,5)] , then :

If A=[(-1,0,2),(3,1,4)], B=[(0,-2,5),(1,-3,1)] and C=[(1,-5,2),(6,0,-4)], then find (2A-3B+4C).