Home
Class 11
MATHS
|[x,1,y+z],[y,1,z+x],[z,1,x+y]|=...

|[x,1,y+z],[y,1,z+x],[z,1,x+y]|=

Promotional Banner

Similar Questions

Explore conceptually related problems

The value of |[[1,x,y+z],[1,y,z+x],[1,z,x+y]]| is

Without expanding prove that: |[x+y, y+z, z+x],[z ,x, y],[1, 1 ,1]|=0 .

The value of the det. |[x+y,y+z,z+x],[z,x,y],[1,1,1]| is

Using Cofactors of elements of third column, evaluate Delta=|(1,x, y z),(1,y, z x),(1,z, x y)|

The value of |[x+y, y+z, z+x] , [z,x,y] , [1,1,1]| is

If x, y, z being positive |[1, log _x y,log _x z],[log _y x,1,log _y z],[log _z x,log _z y, 1]|=

Without expanding prove that det[[x+y,z,1y+z,x,1z+x,y,1]]=0

Prove that abs[[1,x,x^2],[1,y,y^2],[1,z,z^2]]=(x-y)(y-z)(z-x)

Prove that |(1,x,x^2),(1,y,y^2),(1,z,z^2)|=(x-y)(y-z)(z-x)

Prove that : |{:(1,x,yz),(1,y,zx),(1,z,xy):}|=(x-y)(y-z)(z-x)