`|(0,xyz,x-z),(y-x,0,y-z),(z-x,z-y,0)|` is equal to……………

|{:(" "0," "x,y),(-x," "0,z),(-y,-z,0):}|=0

|{:(x,z,0),(0,y,y),(z,0,x):}|

If x+y+z=0, then (x+y)(y+z)(z+x) is equal :

Matrix A=[{:(0,2y,z),(x,y,-z),(x,-y,z):}] if A A^(T)=I then , (x,y,z)=(...,...,...)(x,y,zgt0)

If the system of equations, 2x + 3y-z = 0, x + ky -2z = 0 " and " 2x-y+z = 0 has a non-trivial solution (x, y, z), then (x)/(y) + (y)/(z) + (z)/(x) + k is equal to

If the system of equations, 2x + 3y-z = 0, x + ky -2z = 0 " and " 2x-y+z = 0 has a non-trivial solution (x, y, z), then (x)/(y) + (y)/(z) + (z)/(x) + k is equal to

If x,y,z are different and Delta=|{:(x,x^2,1+x^3),(y,y^2,1+y^3),(z,z^2,1+z^3):}| =0 then show that 1+xyz=0

If x,y,z are different and Delta = |(x, x^2, 1+x^3),(y,y^2,1+y^3),(z,z^2,1+z^3)|= 0 then show that 1 + xyz = 0

If x+y +z=0 , then (x+y) (y+z) (z+x) is equal to which of the following: