Evaluate `=|[-1, 6,-2],[ 2, 1, 1],[ 4, 1,-3]|` by two methods

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

Evaluate : [[1,3,5]][[1,0,3],[2,0,1],[0,1,2]][[1],[4],[6]]

Evaluate the following : [[1,2,-3],[-2,1,7]] [[2,3,1],[5,4,2],[1,6,3]]

Following are the margins of victory in the football matches of a league 1, 3, 2, 5, 1, 4, 6,2, 5, 2, 2, 2, 4, 1, 2, 3, 1, 1, 2, 3, 2, 6, 4, 3, 2, 1, 1, 4, 2, 1, 5, 3, 3, 2, 3, 2, 4, 2, 1, 2, 7, 1, 2, 2, 5, 2, 7 Find the mode of this data

" Evaluate the following: "[[1,2,3]][[1,0,2],[2,0,1],[0,1,2]][[2],[4],[6]]

Evaluate : [ ( -1/3 )^2 times ( -1/3 )^3 ] ÷ [ ( -1/6 )^2 times ( -1/6 )^3 ]

Evaluate the following : {[[1,3],[-1,-4]]+[[3,-2],[-1,1]]}[[1,3,5],[2,4,6]]

Find the inverse of {:((3,2,6),(1,1,2),(2,2,5)):} by the adjoint method .

If A=[[2,-1, 1],[-1 ,2,-1],[ 1, 1, 2]] .Verify that A^3-6A^2+9A-4I=0 and hence find A^(-1) .

If the rank of A=[[1,2,3,4],[2,4,6,3],[3,6,1,1]] is 1 then lambda+mu =