Concept
Bimodule
Related lectures (11)
Linear Algebra: Spectral Decomposition
Covers the spectral decomposition of matrices and change of basis applications.
Tensor Products of Modules
Covers tensor algebras, symmetric and exterior algebras, and tensor products of modules.
Local Rings and Residues
Covers the proof of theorem 4.2 on multiplicities and the special structure of local rings at a simple point of a plane.
Singular Value Decomposition: Applications and Interpretation
Explains the construction of U, verification of results, and interpretation of SVD in matrix decomposition.
Diffie-Hellman Cryptography: Key Exchange and ElGamal Encryption
Covers the Diffie-Hellman key exchange protocol and the ElGamal public-key cryptosystem.
Diagonalization of Symmetric Matrices
Explores diagonalization of symmetric matrices and their eigenvalues, emphasizing orthogonal properties.
Vector Analysis: Gradient, Divergence, Curl
Covers the fundamental concepts of vector analysis, including the gradient, divergence, and curl operators.