Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Algebra

Question:

The value of $Δ=\begin{bmatrix}b-c & c-a & a-b\\c-a & a-b & b-c\\a-b & b-c & c-a\end{bmatrix}$ is

Options:

$a+b+c$

0

1

none of these

Correct Answer:

0

Explanation:

The correct answer is option (2) : 0

Applying $C_1→C_1+C_2+C_3, $ we have

$Δ=\begin{bmatrix}0 & c-a & a-b\\0 & a-b & b-c\\0 & b-c & c-a\end{bmatrix}=0 $             [∵ $C_1$ consists of all zeroes]