Cauchy-binet for Pseudo-determinants

The pseudo-determinant Det(A) of a square matrix A is defined as the product of the nonzero eigenvalues of A. It is a basis-independent number which is up to a sign the first nonzero entry of the characteristic polynomial of A. We extend here the Cauchy-Binet formula to pseudo-determinants. More specifically, after proving some properties for pseudo… CONTINUE READING

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