TS EAMCET · Maths · Matrices
If \(|\operatorname{Adj} \mathrm{A}|=x\) and \(|\operatorname{Adj} \mathrm{B}|=y\) then \(\left|(\operatorname{Adj}(\mathrm{AB}))^{-1}\right|=\)
- A \(\frac{1}{x} \frac{1}{y}\)
- B \(x y\)
- C \(\frac{1}{x y}\)
- D \(x+y\)
Answer & Solution
Correct Answer
(C) \(\frac{1}{x y}\)
Step-by-step Solution
Detailed explanation
\(\mid \operatorname{Adj}(\mathrm{AB}))^{-1} \left\lvert\,=\frac{1}{|\operatorname{Adj}(\mathrm{AB})|} \quad-\left[\because\left|\mathrm{A}^{-1}\right|=\frac{1}{|\mathrm{~A}|}\right]\right.\)…
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