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Matrix Factorizations: LU Decomposition
This lecture covers the concept of LU decomposition, which is a useful technique in mathematics for solving systems of linear equations efficiently. It explains how to factorize a matrix into lower and upper triangular matrices, and how this process can simplify the solution of linear systems. The instructor also discusses the properties of triangular matrices, unitary matrices, and determinants, providing examples to illustrate the theoretical concepts.
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