Home
Class 12
MATHS
Prove that |{:(y+z,x,x),(y,z+x,y),(z,z,x...

Prove that `|{:(y+z,x,x),(y,z+x,y),(z,z,x+y):}|=4xyz`

Promotional Banner

Similar Questions

Explore conceptually related problems

Using properties of determinant show that : |(y+z,x,x),(y,z+x,y),(z,z,x+y)|=4xyz

prove that: |(y+z,z,y),(z,z+x,x),(y,x,x+y)|=4xyz

prove that: |(y+z,z,y),(z,z+x,x),(y,x,x+y)|=4xyz

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

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

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

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

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