Let A be any 3 3 invertible matrix. Then which one of the following is not always true?
Mathematics · JEE Main · NTA Exams — Matrices and Determinants
Let A be any \(3 \times 3\) invertible matrix. Then which one of the following is not always true?
- \(\operatorname{ad}(\operatorname{ad}(A))=|A|^{2} \operatorname{ad}(A)^{-1}\)
- \(\operatorname{ad}(\operatorname{tad}(A))=|A| \ln d(A)^{-1}\)
- \(\operatorname{ad}(\operatorname{tad}(A))=|A| A\)
- \(\operatorname{ad}(A)=|A| A^{-1}\)
Answer
(B) ad ( tad (A))=|A| d(A)^ -1
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