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Expert-verified Found in: Page 395 ### Linear Algebra and its Applications

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.

See the step by step solution

## Step 1: Find the transpose

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.

## Step 2: Draw the conclusion

As $$A$$ is not square matrix, so it cannot be asymmetric matrix. ### Want to see more solutions like these? 