TS EAMCET · Maths · Matrices
If \(A=\left[\begin{array}{ccc}1 & -3 & -5 \\ -2 & 4 & -6 \\ 7 & -11 & 13\end{array}\right]\), then \(\sqrt{|\operatorname{Adj} A|}=\)
- A \(64\)
- B \(16\)
- C \(36\)
- D \(216\)
Answer & Solution
Correct Answer
(A) \(64\)
Step-by-step Solution
Detailed explanation
\( |\operatorname{Adj} A| = |A|^{n-1} \) \( \sqrt{|\operatorname{Adj} A|} = \sqrt{|A|^{3-1}} = \sqrt{|A|^2} = |A| \) \( |A| = 1(4 \cdot 13 - (-6) \cdot (-11)) - (-3)(-2 \cdot 13 - (-6) \cdot 7) + (-5)(-2 \cdot (-11) - 4 \cdot 7) \)…
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