Covers the representation of signals in vector spaces and inner product spaces, including the Projection Theorem.
Covers the concept of 3D vector space, scalar product, bases, orthogonality, and projections.
Covers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.
Introduces vector spaces, bases, and the Hilbert space, highlighting the practical implications of defining a basis in a vector space.
Explores the application of linear algebra in quantum mechanics, emphasizing vector spaces, Hilbert spaces, and the spectral theorem.
Explores the generalization of projection in vector spaces and its unique properties, emphasizing its role in finding the closest vector in a subspace.
