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

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

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

Given the matrices A=[2 1 1 3-1 0 0 2 4] , B=[9 7-1 3 5 4 2 1 6] and C=[2-4 3 1-1 0 9 4 5] Verify that (A+B)+C=A+(B+C) .

If A=[{:(" "1," "0,-2),(" "3,-1," "0),(-2," "1," "1):}],B=[{:(" "0,5,-4),(-2,1," "3),(-1,0," "2):}]" and "C=[{:(" "1," "5,2),(-1," "1,0),(" "0,-1,1):}], verify that A(B-C)=(AB-AC).

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

For the following matrices verify the associativity of matrix multiplication i.e. (A B)C=A(B C)dot A=[1 2 0-1 0 1] , B=[1 0-1 2 0 3] and C=[1-1] (ii) A=[4 2 3 1 1 2 3 0 1] , B=[1-1 1 0 1 2 2-1 1] and C=[1 2-1 3 0 1 0 0 1] .

If A=[[1,0,1],[3,1,2]],B=[[2,1,-4],[3,5,-2]], and C=[[0,2,3],[-1,-1,0]], verify that [A+2B+3C]^T=A^T+2B^T+3C^T

Taking A = [(1,2),(-3,0)], B = [(0,1), (2,3)] and C = [(3,1),(0,2)] , verify that A + (B+C) = (A+B ) +C

If A =[[1,2,3],[-1,0,2],[1,-3,-1]] , B= [[4,5,6],[-1,0,1],[2,1,2]] and C=[[-1,-2,1], [-1,2,3],[-1,-2,2]] verify that A(B+C)=AB+AC .

If A =[[1,2,3],[-1,0,2],[1,-3,-1]] , B= [[4,5,6],[-1,0,1],[2,1,2]] and C=[[-1,-2,1], [-1,2,3],[-1,-2,2]] verify that A(B+C)=AB+AC .