Determinant of $\begin{bmatrix}\alpha&… | ClassNotes

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Determinant of $\begin{bmatrix}\alpha&… | ClassNotes

E

Editor

Sep 18, 2022

Determinant of $\begin{bmatrix}\alpha& \beta+\gamma& 1 \\\beta & \gamma+\alpha & 1\\\gamma&\alpha+\beta&1 \end{bmatrix}$

Difficulty: Hard

A:

0

B:

(\alpha+\beta+\gamma)

C:

(\alpha+\beta+\gamma)(1-\alpha)

D:

(\alpha+\beta+\gamma)(\alpha-\beta)(\alpha-\gamma)

ID: 63273dbaca83163ac3a11dab