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Previous Year Question (PYQs)



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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