x+z=2y@

Factorise the following expressions : x^2 y z + x y^2z + x y z^2

The system of equation -2x + y + z = 1, x – 2y + z = –2, x + y + lambdaz = 4 will have no solution if

Evaluate the following: |[0,x y^2,x z^2],[x^2y,0,y z^2],[x^2z, z y^2, 0]|

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

Solve by matrix method 2x -y +z =-1 -x +2y -z =4 x-y + 2z =-3

If |y z-x^2z x-y^2x y-z^2x z-y^2x y-z^2y z-x^2x y-z^2y z-x^2z x-y^2|=|r^2u^2u^2u^2r^2u^2u^2u^2r^2| , then r^2=x+y+z b. r^2=x^2+y^2+z^2 cdotu^2=y z+z x+x y d. u^2=x y z

If |y z-x^2z x-y^2x y-z^2x z-y^2x y-z^2y z-x^2x y-z^2y z-x^2z x-y^2|=|r^2u^2u^2u^2r^2u^2u^2u^2r^2| , where r^2=x^2+y^2+z^2 & u^2= x y + y z+z x