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Question

Question: If \(\left| \begin{matrix} y + z & x & x \\ y & z + x & y \\ z & z & x + y \end{matrix} \right| = k(...

If y+zxxyz+xyzzx+y=k(xyz)\left| \begin{matrix} y + z & x & x \\ y & z + x & y \\ z & z & x + y \end{matrix} \right| = k(xyz), then k is equal to

A

4

B

-4

C

Zero

D

None of these

Answer

4

Explanation

Solution

Putting x = 1 y = 1,

and z = 1 on both sides, we get k = 4