Lectures related to Symmetric Matrices: Null Space and Column Space

Explores orthogonal base change in linear algebra, focusing on matrices and transformations.

Explores matrix operations, linear systems, solutions, and the span of vectors in linear algebra.

Discusses eigenvalues, their calculation methods, and their applications in optimization and numerical analysis.

Introduces symmetric and anti-symmetric matrices, matrix powers, inverses, elementary matrices, and matrix manipulation.

Covers linear systems, diagonal and triangular matrices, and LU factorization.

Covers elementary matrices and their operations in matrix algebra, highlighting their importance in linear algebra.