Y=[[2,1,-1,2],[1,3,2,-3],[-1,2,1,-1],[2,-3,-1,4]]

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

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

If X+Y=[[2,-1],[1,3],[-3,2]] and X-2Y=[[-2,-1],[-3,-1],[4,-2]] find X and Y.

Use product [[1,-1,2],[0,2,-3],[3,-2,4]][[-2,0,1],[9,2,-3],[6,1,-2]] to solve the system of equations x-y+2z=1 2y-3z=1 3x-2y+4z=2

Use product [[1,-1,2],[0,2,-3],[3,-2,4]][[-2,0,1],[9,2,-3],[6,1,-2]] to solve the system of equations x-y+2z = 1, 2y - 3z = 1, 3x-2y+4z = 2

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

Find x and y,if {4[[2,-1,3],[1,0,2]]-[[3,-3,4],[2,1,1]]}[[2],[-1],[1]]=[[x],[y]]

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

[[1,-2],[3,2]][[x,2],[1,y]]=[[-3,4],[-1,4]] Find x and y.