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Write a 2 × 2 Matrix Which is Both Symmetric and Skew-symmetric. - Mathematics

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Question

Write a 2 × 2 matrix which is both symmetric and skew-symmetric.

Sum

Solution

A matrix which is both symmetric and skew-symmetric is a null matrix.

Hence, the required matrix is 

\[\begin{bmatrix}0 & 0 \\ 0 & 0\end{bmatrix}\]

 

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Chapter 5: Algebra of Matrices - Exercise 5.6 [Page 64]

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RD Sharma Mathematics [English] Class 12
Chapter 5 Algebra of Matrices
Exercise 5.6 | Q 60 | Page 64

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