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Consider the determinant Delta=abs[[x,x^...

Consider the determinant `Delta=abs[[x,x^2,1+x^3],[y,y^2,1+y^3],[z,z^2,1+z^3]]`,
Where x,y,z are different.
Show that if `Delta=0`,then`1+xyz=0`

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MAXIMUM PUBLICATION-DETERMINANTS-EXAMPLE
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  15. Find the inverse of the following A=[[1,0,0],[3,3,0],[5,2,-1]]

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