|[y+z,z,x],[y,z+x,y],[z,z,x+y]|" is "oo

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

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

By using properties of determinants, show that : |[x+y+2z,x,y],[z,y+z+2x,y],[z,z,z+x+2y]| = 2(x+y+z)^3

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 a. x y z b. 2x y z c. 3x y z d. 4x y z

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 a. x y z b. 2x y z c. 3x y z d. 4x y z

Prove that: |[y+z, z, y],[z, z+x, x], [y, x, x+y]|= 4 xyz

The repeated factor of the determinant |(y +z,x,y),(z +x,z,x),(x +y,y,z)| , is

Prove that |[y+z,z,y],[z,z+x,x],[y,x,x+y]]=4xyz

The repeated factor of the determinant |(y +z,x,y),(z +x,z,x),(x +y,y,z)| , is

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