10*[[3,-1],[-4,2]]

Select the correct option from the given alternatives.If A = frac{1}{2} [[1,-4],[-1,2]] . Then find the A'A. (a) 1/2[[1,-3],[-3,10]] (b) 1/4[[2,4],[4,-2]] (c) 1/2[[1,-3],[3,-6]] (d) 1/4[[3,1],[-1,-3]]

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

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

If A=[[3,-1,0],[2,4,1],[-2,-3,5]] the cofactor of 1 is :

If lambda and mu are the co factors of 3 and -2 respectively in the determinant |[1,0,-2] , [3,-1,2] , [4,5,6]| then the value of lambda+mu=

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

If A=[[3,2,-1],[2,-2,0],[1,3,1]],B=[[-3,-1,0],[2,1,3],[4,-1,2]] and X=A+B then find X

Find A such that [[2,3,4],[1,0,-2],[3,1,-1]]+A=[[1,2,-1],[2,-1,0],[1,3,2]]

Find A if [[1,0,-1],[-2,-1,4],[-1,0,2]]A = [[-1,-2,2],[3,4,-3],[3,4,-1]]

(a) Find the rank of the matrix [[1,2,-1,0],[-1,3,0,-4],[2,1,3,-2],[1,1,1,-1]]