If `[[3,2],[x,1]]=[[z,y],[3,1]]` then `(x+1,y+1,z+1)` is

If [[1, 1, 1], [1, -2, -2], [1, 3, 1]][[x], [y], [z]]=[[0], [3], [4]] , then [[x], [y], [z]]=

If [(2,-1,3),(1,3,-1),(3,2,1)],[(x),(y),(z)]=[(9),(4),(10)] ,then [(x),(y),(z)] is equal to

If x!=0,y!=0,z!=0 and det[[1+x,1,11+y,1+2y,11+z,1+z,1+3z]]=0, then x^(-1)+y^(-1)+z^(-1) is equal to a.1b.1c.-3d none of these

If [{:(1,1,1),(1,-2,-2),(1,3,1):}][{:(x),(y),(z):}]=[{:(0),(3),(4):}] , then [{:(x),(y),(z):}] is equal to

If A=[[1,-1,12,1,-31,1,1]], find A^(-1) and hence solve the system of linear equation.x+2y+z=4,-x+y+z=0,x-3y+z=2

If |[x^3+1, x^2, x] , [y^3+1, y^2, y] , [z^3+1, z^2, z]|=0 and x, y, z are all different then prove that xyz=-1

Prove that |[x,y,z] , [x^2, y^2, z^2] , [yz, zx, xy]| = |[1,1,1] , [x^2, y^2, z^2] , [x^3, y^3, z^3]|