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Column Subset Selection: RRQR and TCSExplores RRQR, TCS, tradeoffs, accuracy metrics, and low-rank matrix factorization frameworks, emphasizing communication avoidance and recent developments.
Matrix Chain MultiplicationDelves into dynamic programming with a focus on Matrix Chain Multiplication and the longest common subsequence problem.
Gauss RepresentationExplores the Gauss representation of complex numbers, focusing on addition, multiplication, bases, and vector space dimensions.
Vector Spaces: BasicsCovers the basics of vector spaces, including operational definitions, properties, examples in RN, inner products, norms, and distances.
Matrix CalculusCovers the definition and basic operations of matrices, including addition, scalar multiplication, and matrix multiplication.