[" a "],[x],[x],[+],[x],[z]

show that |[y+z ,x, y],[ z+x, z, x],[x+y, y ,z]|=(x+y+z)(x-z)^2

|[y+z, x, y],[z+x, z, x],[x+y, y, z]|=...

Show that abs([y+z ,x,x],[y,z+x,y],[z,z,x+y])=4xyz

|[z+y,x,x] , [y,z+x,y] , [z,z,x+y]|=

If |[y+z,x,y],[z+x,z,x],[x+y,y,z]|=k(x+y+z)(x-z)^2 then k is equal to

Let x, y, z are distinct cube roots of unity and the value of |[x,y-z,z-y],[x-z,y,z-x],[x-y,y-x,z]|=K then |K|

Prove that |[x+y, y+z, z+x] , [z+x, x+y, y+z] , [y+z, z+x, x+y]|=2|[x,y,z] , [z,x,y] , [y,z,x]|

|[y+z, x, x] , [y, z+x, y] , [z, z, x+y]|= (i) x^2y^2z^2 (ii) 4x^2y^2z^2 (iii) xyz (iv) 4xyz

Let f(x) = x[x], x in z, [.] is GIF then "f"^(')(x) =

Find the values of x,y,z if , [[2x+y,x-y],[x-z,x+y+z]]=[[10,-1],[2,8]]