\[\left| \,\begin{matrix} 1+x & 1 & 1 \\ 1 & 1+y & 1 \\ 1 & 1 & 1+z \\ \end{matrix}\, \right|=\] [RPET 1992; Kerala (Engg.) 2002]

\[xyz\left( 1+\frac{1}{x}+\frac{1}{y}+\frac{1}{z} \right)\]

\[1+\frac{1}{x}+\frac{1}{y}+\frac{1}{z}\]

\[\frac{1}{x}+\frac{1}{y}+\frac{1}{z}\]

\[\left| \,\begin{matrix} 1+x & 1 & 1 \\ 1 & 1+y & 1 \\

1.	\[\left\| \,\begin{matrix} 1+x & 1 & 1 \\ 1 & 1+y & 1 \\ 1 & 1 & 1+z \\ \end{matrix}\, \right\|=\] [RPET 1992; Kerala (Engg.) 2002]
A.	\[xyz\left( 1+\frac{1}{x}+\frac{1}{y}+\frac{1}{z} \right)\]
B.	\[xyz\]
C.	\[1+\frac{1}{x}+\frac{1}{y}+\frac{1}{z}\]
D.	\[\frac{1}{x}+\frac{1}{y}+\frac{1}{z}\]
Answer» B. \[xyz\]

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\[\left| \,\begin{matrix} 1+x & 1 & 1 \\ 1 & 1+y & 1 \\ 1 & 1 & 1+z \\ \end{matrix}\, \right|=\] [RPET 1992; Kerala (Engg.) 2002]

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