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Previous Year Question (PYQs)
3
If $
\begin{vmatrix}
a & p & x \\
b & q & y \\
c & r & z
\end{vmatrix}
= 16
$, then the value of
$
\begin{vmatrix}
p+q & a+x & a+p \\
q+y & b+y & b+q \\
x+z & c+z & c+r
\end{vmatrix}
$ is:
Solution
By properties of determinants,
each column in the second determinant is the **sum of two columns** of the first.
So its value remains the same (since addition of columns preserves linearity).
Hence $\boxed{16}$.
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