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Question

Mathematics Question on Determinants

A=[ααα βαβ ααα]\begin{bmatrix} \alpha & \alpha & \alpha \\\ \beta & \alpha & -\beta \\\ -\alpha & \alpha & \alpha \end{bmatrix}B is formed by co-factor of A matrix, then find out determinant of AB.

A

4α3(2α+β)5

B

12α4(α+β)2

C

8α6(α+β)3

D

18α8(α+β)3

Answer

8α6(α+β)3

Explanation

Solution

The Correct answer is option is (C) : 8α6(α+β)3