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Question

Question: \[\left| \begin{matrix} x & 4 & y + z \\ y & 4 & z + x \\ z & 4 & x + y \end{matrix} \right| =\]...

x & 4 & y + z \\ y & 4 & z + x \\ z & 4 & x + y \end{matrix} \right| =$$
A

4

B

x+y+zx + y + z

C

xyz

D

0

Answer

0

Explanation

Solution

Apply C1C1+C3C_{1} \rightarrow C_{1} + C_{3} and take x+y+zx + y + z common from C1C_{1} and 4 from C2C_{2} to make first two columns identical.