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Question
The value of the determinant `abs ((alpha, beta, gamma),(alpha^2, beta^2, gamma^2),(beta + gamma, gamma + alpha, alpha + beta)) =` ____________.
Options
`(alpha + beta) (beta + gamma) (gamma + alpha)`
`(alpha - beta) (beta - gamma) (gamma - alpha) (alpha + beta + gamma)`
`(alpha + beta + gamma)^2 (alpha - beta - gamma)^2`
`alpha beta gamma (alpha + beta + gamma)`
MCQ
Fill in the Blanks
Solution
The value of the determinant `abs ((alpha, beta, gamma),(alpha^2, beta^2, gamma^2),(beta + gamma, gamma + alpha, alpha + beta)) =` `underline((alpha - beta) (beta - gamma) (gamma - alpha) (alpha + beta + gamma))`.
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