Commuting matrices

Related lectures (31)

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Explores properties of orthogonal and triangular matrices with linearly independent columns and their mathematical operations.

Explores spectral and singular value decompositions of matrices.

Covers the solution of linear systems using direct methods and the evolution of matrices.

Explores roughness penalty, band matrices, and Bayesian inference in regression smoothing.

Covers the application of finite difference methods to solve partial differential equations.

Explores Lie algebras, representations, tensor products, and commutation relations in mathematics.

Covers notations, operations, isomorphism, and polar decomposition of complex numbers.

Introduces eigenspaces in linear algebra through definitions and practical examples of determining eigenspaces for matrices.

Explores Theorem 7.6 on the rank of the dual map in linear applications and delves into matrices and scalar matrices.

Covers the solution of linear differential equations, focusing on complex solutions and diagonalizable matrices.