The value of |(x+y,y+z,z+x),(x,y,z),(x-...

The value of `|(x+y,y+z,z+x),(x,y,z),(x-y,y-z,z-x)|=`

A

`2(x+y+z)^2`

B

`2(x+y+z)^3`

C

`(x+y+z)^3`

D

0

Verified by Experts

The correct Answer is:

D

Similar Questions

Explore conceptually related problems

Find the values of x, y, z if the matrix A=[(0, 2y,z),(x,y,-z),(x,-y,z)] satisfy the equation A'A=I .

|(x, 4, y+z),(y, 4, z+x),(z, 4, x+y)|=

The determinant: |(xp+y,x,y),(yp+z,y,z),(0,xp+y,yp+z)|=0 if :

The value of |(1,log_(x)y,log_(x)z),(log_(y)x,1,log_(y)z),(log_(z)x,lo_(z)y,1)|=

Prove that |(x,x^2,yz),(y,y^2,zx),(z,z^2,xy)|= (x-y)(y-z)(z-x)(xy + yz + zx) .

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

Without expanding prove that Delta ={:|( x+y,y+z,z+x) ,( z,x,y),( 1,1,1) |:} =0

Prove that |{:(,x+y+2z,x,y),(,z,y+z+2z,y),(,z,x,z+x+2y):}|=2(x+y+z)^(3) .

The value of the determinant |{:(1 , x , x+ z) , (1 , y , z + x) , (1 , z , x + y):}| is