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4]A Brief Explanation on Symmetric and Skew Symmetric Matrix with examples | Matrix Algebra
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Symmetric matrix: Any square matrix is symmetric matrix if it is equal to its transpose.
Properties of Symmetric matrix are:
Sum is symmetric
Difference is symmetric
If A and B commute, product AB is symmetric
If A and B anti-commute, product AB is not symmetric
Skew-Symmetric matrix: Any square matrix is skew-symmetric matrix if it is equal to negative transpose.
Properties of Skew-Symmetric matrix are same as that of Symmetric matrix
Above matrices are explained with examples.
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Properties of Symmetric matrix are:
Sum is symmetric
Difference is symmetric
If A and B commute, product AB is symmetric
If A and B anti-commute, product AB is not symmetric
Skew-Symmetric matrix: Any square matrix is skew-symmetric matrix if it is equal to negative transpose.
Properties of Skew-Symmetric matrix are same as that of Symmetric matrix
Above matrices are explained with examples.
For latest updates subscribe our channel “YSR EduTech” or join me on Facebook page "YSR EduTech"
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