2*[[2,1],[1,1]]quad " ,"quad [[1,3],[2,7]]

If A=[[1,2,3],[3,1,2],[2,3,1]] and B=[[-5,7,1],[1,-5,7],[7,1,-5]] prove that AB=18I_3

1.Find the rank of the matrix [[1,-2,3,4],[-2,4,-1,-3],[-1,2,7,6]]

Find the rank of the matrix [[1,2,-1,3],[2,4,1,-2],[3,6,3,-7]]

Show that {:[(4,1),(2,7)][(2,1),(3,4)] ne [(2,1),(3,4)][(4,1),(2,7)]

The inverse of [[3,5,7],[2,-3,1],[1,1,2]] is

If A^(-1) = 1/7 [[3,1] , [-1,2]] then A=

Find the additive inverse of the matrix A=[(2,3,-1,1),(3,-1,2,2),(1,2,8,7)]

If A=[(3,2,-1),(1,5,4),(-2,3,7)], B=[(1,2,1),(2,1,2),(1,2,1)] and 3A+2X=5B then X=

Without expanding determinants show that |(1,3,6),(6,1,4),(3,7,12)|+4|(2,3,3),(2,1,2),(1,7,6)|=10|(1,2,1),(3,1,7),(3,2,6)|