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If |A| = 2, Where a is 2 × 2 Matrix, Find |Adj A|. - Mathematics

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प्रश्न

If |A| = 2, where A is 2 × 2 matrix, find |adj A|.

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उत्तर

\[\text{ For any square matrix A of order n, }\left| adjA \right| = \left| A \right|^{n - 1} . \] 
\[\text{ Given: }\hspace{0.167em} \left| A \right| = 2\] 
Here, order is 2 . 
\[ \Rightarrow \left| adjA \right| = \left| 2 \right|^{2 - 1} = 2\] 

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अध्याय 6: Determinants - Exercise 6.6 [पृष्ठ ९१]

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आरडी शर्मा Mathematics [English] Class 12
अध्याय 6 Determinants
Exercise 6.6 | Q 39 | पृष्ठ ९१

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