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Science is an indisputable source of progress for our society. A topical example is the use of recent advances in biochemistry to foster new vaccines for Sars-CoV-19. The compendium of acquired scientific knowledge is so vast that nobody is expected to be illustrated in every branch of science, not even a field or subfield.

We briefly discuss how to eigendecompose a symmetric square matrix, and check some of its properties. Note about notation: vectors are bold lowercase, like $\mathbf{u,v}$. matrices are bold uppercase, like $\mathbf{A,B,C}$.