Value of [[x+y, z,z ],[x, y+z, x],[y, y,...

Value of `[[x+y, z,z ],[x, y+z, x],[y, y, z+x]],` where x ,y ,z are nonzero real number, is equal to `x y z` b. `2x y z` c. `3x y z` d. `4x y z`

AI Generated Solution

Similar Questions

Explore conceptually related problems

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

Prove: |(y+z, z, y),( z, z+x,x),( y, x,x+y)|=4\ x y z

The value of |(x +y,y+z,z+x),(x,y,z),(x -y,y-z,z-x)| is euqal to

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

Prove that Det [[x + y + 2z, x, y], [z, y + z + 2x, y], [z, x, z + x + 2y]] = 2 (x + y + z) ^ 3

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

evaluate: |(a+x,y,z),(x,a+y,z),(x,y,a+z)|

If |(x+y,y+z,z+x),(y+z, z+x,x+y),(z+x,x+y,y+z)| =k |(x,z,y),(y,x,z),(z,y,x)| , then k is equal to