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How to write the code of eigenvalue decomposition (EVD) ?

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If i have a matrix A,and ignore the rank-1 constraint for each matrix A,and A=a times a^H,that is ,(A=a a^H),and we can obtain a by using Eigenvalue Decomposition (EVD) of A.How do i write the code about this?
Does anyone know or have an example about eigenvalue decomposition (EVD) ? Or does anyone know how to write the code of my question?

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