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If a is a Square Matrix of Order 3 Such that |A| = 3, Then Write the Value of Adj (Adj A). - Mathematics

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प्रश्न

If A is a square matrix of order 3 such that |A| = 3, then write the value of adj (adj A). 

बेरीज

उत्तर

For any square matrix A, we have

\[\left| adj(adj A) \right| = \left| A \right|^{(n - 1)^2 }\]

\[ \Rightarrow \left| adj(adj A) \right| = \left( 3 \right)^4 = 81\]

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पाठ 7: Adjoint and Inverse of a Matrix - Exercise 7.3 [पृष्ठ ३५]

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आरडी शर्मा Mathematics [English] Class 12
पाठ 7 Adjoint and Inverse of a Matrix
Exercise 7.3 | Q 11 | पृष्ठ ३५

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