If $\left|\begin{array}{ccc}y+z & x

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Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Matrices

Question:

If $\left|\begin{array}{ccc}y+z & x & x \\ y & z+x & y \\ z & z & x+y\end{array}\right|=k(x y z)$, then k is equal to

Options:

-4

Zero

None of these

Correct Answer:

Explanation:

Putting x = 1 y = 1, and z = 1 on both sides,

we get k = 4

Hence (1) is the correct answer