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Q6E

Expert-verifiedFound in: Page 395

Book edition
5th

Author(s)
David C. Lay, Steven R. Lay and Judi J. McDonald

Pages
483 pages

ISBN
978-03219822384

**Determine which of the matrices in Exercises 1–6 are symmetric.**

**\(\left( {\begin{array}{{}{}}1&2&2&1\\2&2&2&1\\2&2&1&2\end{array}} \right)\)**

The given matrix is not symmetric.

A matrix\(A\) with, \(n \times n\) dimension, is symmetric if it satisfies the equation\({A^T} = A\).

It is given that\(A = \left( {\begin{array}{{}{}}1&2&2&1\\2&2&2&1\\2&2&1&2\end{array}} \right)\). It can be noted that \(A\) is not a square matrix of \(n \times n\) dimension.

As \(A\) is not square matrix, so it cannot be asymmetric matrix.

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