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

Select and write the correct answer from the given alternatives in each of the following:If A=[[alpha,0],[1,1]] and B=[[16,0],[5,1]] such that A^2=B ,then alpha is

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

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

Answer the following questions. If A=[[2,1,-3],[0,2,6]],B=[[1,0,-2],[3,-1,4]] ,find AB^T and A^TB

If A=[[3,0],[-3,1],[4,1]],B=[[1,0],[-2,1],[7,2]] and C=[[5,7],[1,0],[2,5]] .Find the matrix x such that 2A-3B+4x=C

If A = [[3,1,],[4,0]] , B = [[4,0],[2,5]] then verify that (AB)^-1 = B^-1A^-1 .

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.

Solve the following: A=[[2,3,1],[-1,-1,0]], B=[[-4,3,1],[5,7,8]] Find A+B

If A = [[5,2],[-1,6] and B = [[0,1],[0,1]] then find the matrices X and Y such that XA= B and AY =B .

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