If `A[[1,3],[2,6]]` and `B=[[-1,4],[2,1]]` then `(A+B)^2=`

If A=[[1,4,-1],[2,6,5]] and B=[[3,-2,-6],[2,0,-7]] , find A+B and A-B

If A=[[2,3],[1,-4]] and B=[[1,-2],[-1,3]] , then verify that (A B)^(-1)=B^(-1)A^(-1)

Compute the products A B and B A whichever exists in each of the following cases: A=[[1,-2],[ 2, 3]] and B=[[1, 2,3],[ 2,3, 1]] (ii) A=[[3, 2],[-1, 0],[-1, 1]] and B=[[4, 5, 6],[ 0, 1 ,2]]

If A= [[1,-1,0],[2,3,4],[0,1,2]] and B = [[2,2,-4],[-4,2,-4],[2,-1,5]] then, (A) A^(-1) =B (B) A^(-1) =6B (C) B^(-1) =B (D) B^(-1) = 1/6 A

If A=[[1,2,3]], B=[(-5,4,0),(0,2,-1),(1,-3,2)] then (A) AB=[(-2),(-1),(4)] (B) AB=[-2,-1,4] (C) AB=[4,-1,2] (D) AB=[(-5,4,0),(0,4,-2),(3,-9,6)]

If A=[[3,4],[ -1,2],[0, 1]] and B=[[-1, 2, 1],[1,2, 3]] , then verify that (A+B)^(prime)=A^(prime)+B^(prime)

If A= [[1,2],[3,4]] , adjA= [[4,a],[-3,b]] , then the values of a and b are: (a) a=-2, b=1 (b) a=2, b= 4 (c) a=2, b=-1 (d) a=1, b=-2

If A=[[2, 1, 4], [4, 1, 5]] and B=[[3,-1], [2, 2], [1,3]] . Write the orders of A B and B A .

If A=[[1,4],[0,5],[6,7]] and B=[[2,3,-1],[1,0,-7]] , verify that (AB)\'=B\'A\'

If A=[[-2],[4], [5]] , B=[[1 ,3,-6]] , verify that (A B)' = B'A' .