Eigen Library for Linear AlgebraExplores the Eigen library for linear algebra, covering vectors, matrices, arrays, memory management, reshaping, and per-component operations.
Matrix InversionExplores matrix inversion, conditions for invertibility, uniqueness of the inverse, and elementary matrices for inversion.
Matrix CalculusCovers matrix calculus, including determinants, matrix inversion, and solutions to systems of linear equations.
Binet-Cauchy TheoremCovers the Binet-Cauchy theorem, showing how determinants of matrix products relate to submatrix determinants.
Triangular Block MatricesExplores upper triangular block matrices, invertibility, elementary transformations, and determinants with examples.