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Symmetric & Skew Symmetric matrices

Last updated at May 29, 2023 by Teachoo

In a symmetric matrix,

A’ = A

And in a skew symmetric matrix

A’ = −A

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Note:
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Here matrix should be a square matrix
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Let’s take some examples

For

Since A = A’

∴ A is a symmetric matrix

For

Therefore,

B’ = −B

So, B is a skew symmetric matrix

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Note:
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In a skew
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symmetric
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matrix, diagonal elements are
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always 0.
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