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+z
C
xyz
D
0
Answer
0
Explanation
Solution
Apply C1→C1+C3 and take x+y+z common from C1 and 4 from C2 to make first two columns identical.