The value of determinant of $\begin{bmatrix}1& a &b+c \\1&b& c+a \\1&c&a+b \end{bmatrix}$ is

E

Editor

Sep 18, 2022

The value of determinant of $\begin{bmatrix}1& a &b+c \\1&b& c+a \\1&c&a+b \end{bmatrix}$ is

Difficulty: Easy

A:

0

B:

(a+b+c)

C:

(1-a)(1-b)(1-c)

D:

(a+b+c)^{2}

ID: 63273dbaca83163ac3a11dff