13[[2,-3],[-1,2]]

Check whether the following matrix is invertible or not. [[1,2,3],[2,-1,3],[1,2,3]]

The sum of the eigen values of the matrix A=[[2,-1,3],[1,4,2],[3,1,1]] is

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

If (x, y) represents a point on a plane then [[2,-1,3],[1,2,-1],[x,y,1]] = 0 represents

Show that AB=BA where, A=[[-2,3,-1],[-1,2,-1],[-6,9,-4]],B=[[1,3,-1],[2,2,-1],[3,0,-1]]

Find a matrix X such tht 3A-2B+X=0, where A=[[4,2],[1,3]] , B= [[-2,1], [3,2]]

Find a matrix X such tht 3A-2B+X=0, where A=[[4,2],[1,3]] , B= [[-2,1], [3,2]]

If A=[[-1,-1,3],[1,2,4],[2,-1,3]],B=[[1,-2,5],[0,-2,2],[1,2,-3]],C=[[-2,1,2],[1,1,2],[2,0,1]] then find A+B+C

If A=[[1,1,11,2,-32,-1,3]] Find A^(2)

Express |[2,3,1] , [3,2,-2] , [4,-4,3]| xx |[1,3,-2] , [2,1,3] , [-1,2,2]| as a single determinant and show that its value is 2625