Lectures related to Architectural Transformations: Design Space Exploration

Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.

Covers the norm of a matrix, operator, singular values, and unitary matrices in linear algebra.

Covers the process of diagonalizing matrices, focusing on symmetric matrices and the spectral theorem.

Explores matrix decompositions, algorithms, computational complexity, and predator-prey interactions in numerical linear algebra.

Covers the Singular Value Decomposition theorem and its application in decomposing matrices.

Explores LU decomposition of a matrix into lower and upper triangular matrices.

Explores LU decomposition for solving linear systems and the associativity of operations.