Foundations, part 7

Algebra Level pending

Let

\(D_{1}\) = \(\det\left(\begin{array}{cc}a&b&c\\x&y&z\\p&q&r \end{array}\right)\) and \(D_{2}\) = \(\det\left(\begin{array}{cc}-x&a&-p\\y&-b&q\\z&-c&r \end{array}\right)\).

Then which of the following options is true?

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