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If a is Symmetric Matrix, Write Whether at is Symmetric Or Skew-symmetric.

If A is symmetric matrix, write whether A^T is symmetric or skew-symmetric.

For any symmetric matrix, \[A^T = A\]
Hence, \[A^T\] is also symmetric.

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

Chapter 6 Adjoint and Inverse of a Matrix
Exercise 7.3 | Q 9 | Page 35

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