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Using Properties of Determinants, Prove That: |(Alpha, Alpha^2,Beta+Gamma),(Beta, Beta^2, Gamma+Alpha),(Gamma, Gamma^2, Alpha+Beta)| = (β – γ) (γ – α) (α – β) (α + β + γ) - Mathematics

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Question

Using properties of determinants, prove that:

`|(alpha, alpha^2,beta+gamma),(beta, beta^2, gamma+alpha),(gamma, gamma^2, alpha+beta)|` =  (β – γ) (γ – α) (α – β) (α + β + γ)

Solution

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Chapter 4: Determinants - Exercise 4.7 [Page 142]

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NCERT Mathematics [English] Class 12
Chapter 4 Determinants
Exercise 4.7 | Q 11 | Page 142

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