English

If a is a Square Matrix, Then Write the Matrix Adj (At) − (Adj A)T.

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Question

If A is a square matrix, then write the matrix adj (AT) − (adj A)T.

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Solution

\[\text{ In a non - singular matrix, }adj A^T = \left( adj A \right)^T . \]
\[ \Rightarrow \left( adj A^T \right) - \left( adj A \right)^T =\text{  Null matrix }\] 

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Chapter 6: Adjoint and Inverse of a Matrix - Exercise 7.3 [Page 35]

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R.D. Sharma Mathematics Volume 1 and 2 [English] Class 12
Chapter 6 Adjoint and Inverse of a Matrix
Exercise 7.3 | Q 13 | Page 35
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