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# How do you know if a matrix possesses symmetry?

Another matrix question :)

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- Michael TLv 51 decade agoFavorite Answer
If the transpose is equal to the original matrix.

[[ 2 5 ]

[ 5 3 ]]

is an example of a symmetric 2x2 matrix.

Many physics problems that involve finding the equilibrium of a system. These problems use symmetric matrices to express the energy of the system. They are very useful because they occur in nature. I tell you this because one is often thrown many definitions without being told what they're good for.

Source(s): Gilbert Strang, Applied Mathematics.

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