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Q.

Let B be a skew symmetric matrix of order $3 \times 3$ with real entries. Given I-B and I+B are non-singular matrices. If $A = (I + B) {(I - B)}^{- 1}$ , where det (A)>0, then find the value of det 2(A)-det(adj A)

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answer is 7.

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Detailed Solution

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$\begin{array}{l} A^{T} = {(I + B)}^{- 1} (I - B) \\ | A A^{T} | = 1 \Rightarrow | A | = 1 (a s | A | > 0) \end{array}$

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