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

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

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Show without expanding at any stage that: [x+y,y+z,z+x],[z,x,y],[1,1,1]|=0

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

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

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

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

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

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

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

Find the value of : |(1+x,y,z),(x,1+y,z),(x,y,1+z)|

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]|=