Using properties of determinants prove that|(x,x2,1 + px3),(y,y2,1 + p

1.	Using properties of determinants prove that\|(x,x2,1 + px3),(y,y2,1 + py3),(z,z2,1 + pz3)\| = (1 + pxyz)(x - y)(y - z)(z - x)
Answer» R₁ → R₁ – R₂, R₂ → R₂ – R₃ Taking (x – y),(y – z) common from R₁ and R₂ Then R₁ → R₁ – R₂, R₃ → R₃ – zR₂ Then taking (x – z) common from R₁ and expand.

Using properties of determinants prove that|(x,x2,1 + px3),(y,y2,1 + py3),(z,z2,1 + pz3)| = (1 + pxyz)(x - y)(y - z)(z - x)

Answer»

R₁ → R₁ – R₂, R₂ → R₂ – R₃

Taking (x – y),(y – z) common from R₁ and R₂

Then R₁ → R₁ – R₂, R₃ → R₃ – zR₂

Then taking (x – z) common from R₁ and expand.

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Using properties of determinants prove that|(x,x2,1 + px3),(y,y2,1 + py3),(z,z2,1 + pz3)| = (1 + pxyz)(x - y)(y - z)(z - x)

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