Matrix theory is the study of matrices as concrete objects, rather than as abstract linear operators between vector spaces (whose study belongs to [tag:linear-algebra]). For instance, this involves matrix factorizations and decompositions, nonnegative matrices and Perron-Frobenius theory, Schur complements, structured and special matrices, matrix functions and equations.
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The sum of squared logarithms conjecture2x2 subdeterminants of a matrix
Determinants in Graph Theory
The sum of squared logarithms conjecture
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