Cayley-Hamilton TheoremCovers the Cayley-Hamilton Theorem, stating that for a linear operator on a vector space, its characteristic polynomial satisfies its own equation.
Linear Algebra: Quantum MechanicsExplores the application of linear algebra in quantum mechanics, emphasizing vector spaces, Hilbert spaces, and the spectral theorem.
Vector Spaces EquivalenceExplores equivalence in vector spaces, covering conditions for statements to be considered equivalent and properties of algebraic bases.
Linear Algebra BasicsCovers the basics of linear algebra, including linear maps, bases, and matrix operations.
