If `A=[[1,2],[-1,-2]],B=[[2,a],[-1,b]]`and `(A+B)^2=A^2-B^2`.Find values of a and b.

Answer the following questions.If A=[[-3,2],[2,-4]],B=[[1,x],[y,0]] and (A+B).(A-B)=A^2-B^2 ,find x and y.

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

If A=[[alpha,0],[1,1]],B=[[1,0],[2,1]] find alpha if A^2=B

Select the correct option from the given alternatives. Choose the correct alternative. If A = [[1,2],[3,4]] , adjA = [[4,a],[-3,b]] then the values of a and b are: i]a = − 2 , b = 1 ii]a = 2 , b = 4 iii]a = 2 , b = − 1 iv]a = 1 , b = − 2

If A=[[-2,1],[1,-2]] and B=[[4],[5]] and AX=B ,find X

Answer the following questions.If A=[[0,1],[1,0]],B=[[0,-1],[1,0]] ,show that (A+B).(A-B)!=A^2-B^2

If A = [[2,3],[1,2]] , B = [[1,0],[3,1]] . Find AB and (AB)^-1 . Verify that (AB)^-1 = B^-1.A^-1 .

If A=[[-1,2,1],[-3,2,-3]] and B=[[2,1],[-3,2],[-1,3]] , prove that (A+B^T)^T=A^T+B