[A=([1,2,3],[3,-2,1],[4,2])],[" Find "A^(3)]

If A=[[3,-2,3],[2,1,-1],[4,-3,2]] Find A^-1

If A=[[0,1,3],[1,2,x],[2,3,1]] and A^(-1)=[[(1)/(2),-4,(5)/(2)],[-(1)/(2),3,-(3)/(2)],[(1)/(2),y,(1)/(2)]] . Find x,y

If A=[[0, 1,2],[1,2,3],[3,a,1]]and A^(-1)[[1//2,-1//2,1//2],[-4,3,b],[5//2,-3//2,1//2]] then find a and b

If A=[1,3] and B=[[3,-2,1,-3],[-1,4,-3,2]] find AB.

If A=[[0 ,1 ,3],[ 1, 2,x],[2, 3, 1]] and A^(-1)=[[1//2,-4 ,5//2],[-1//2, 3,-3//2],[ 1//2,y,1//2]] ,find x ,\ y .

If A=[[3, -1, 4], [2, 3, 1]], B=[[1, 3, 4], [2, 1, 0], [-3, 2, 3]] find AB

If A=[[3, -1, 4], [2, 3, 1]], B=[[1, 3, 4], [2, 1, 0], [-3, 2, 3]] find AB

If A*[[3,2],[1,-1]]=[[4,1],[2,3]] " then find A .

(b) Find the rank of the matrix A= [[1,2,1,2],[1,3,2,2],[2,4,3,4],[3,7,4,6]]

Find the matrices A and B for which: {:2A+B={:[(1,2,3),(-1,-2,-3),(4,2,3)] and A+2B={:[(0,2,3),(4,1,7),(1,1,5)]