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Related lectures (29)
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Matrix Diagonalization: Spectral Theorem
Covers the process of diagonalizing matrices, focusing on symmetric matrices and the spectral theorem.
QR Factorization
Explains the QR factorization theorem and demonstrates the Gram-Schmidt procedure with an example.
Matrix Decompositions: LU, Cholesky, QR, Eigendecomposition
Explores matrix decompositions, algorithms, computational complexity, and predator-prey interactions in numerical linear algebra.
Construction of an Iterative Method
Covers the construction of an iterative method for linear systems, emphasizing matrix decomposition and convexity.
Integration of Rational Functions
Covers the integration of rational functions, including the decomposition into partial fractions and the use of complex zeros.
QR Factorization: Orthogonal Bases and Matrices
Explores QR factorization, orthogonal bases, and matrices for numerical computations and solving systems of equations.
Integration of Rational Functions
Covers the integration of rational functions and the decomposition into irreducible factors.
Linear Algebra Review
Covers the basics of linear algebra, including matrix operations and singular value decomposition.
Matrix Decomposition: QR Factorization
Introduces QR factorization for matrix decomposition, emphasizing its importance in various applications and the implications of a well-chosen model.
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