Factorisation LUExplains Gaussian elimination and LU factorization for solving linear systems of equations.
Linear Algebra ReviewCovers the basics of linear algebra, including matrix operations and singular value decomposition.
Matrix InversionExplores matrix inversion, conditions for invertibility, uniqueness of the inverse, and elementary matrices for inversion.
Block DecompositionCovers the concept of block decomposition in linear algebra, illustrating how matrices can be divided and manipulated using block structures.
Linear Equations and Vector SpacesDelves into linear equations, vector spaces, and matrix operations, exploring solutions and representations through examples and algebraic methods.