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QR Factorization
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Related lectures (26)
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LU Decomposition: Linear Systems Applications
Covers the LU decomposition method applied to linear systems, presenting the system in two steps.
Singular Value Decomposition
Explores Singular Value Decomposition, low-rank approximation, fundamental subspaces, and matrix norms.
Linear Algebra Review
Covers the basics of linear algebra, including matrix operations and singular value decomposition.
Factorisation QR: Gram-Schmidt Process
Covers the Factorisation QR theorem and the Gram-Schmidt method for orthonormal bases.
Linear Algebra Review: Convex Optimization
Covers essential linear algebra concepts for convex optimization, including vector norms, eigenvalue decomposition, and matrix properties.
Matrix Decompositions: LU, Cholesky, QR, Eigendecomposition
Explores matrix decompositions, algorithms, computational complexity, and predator-prey interactions in numerical linear algebra.
Linear Algebra: Matrix Representation
Explores linear applications in R² and matrix representation, including basis, operations, and geometric interpretation of transformations.
Matrix Decomposition: QR Factorization
Introduces QR factorization for matrix decomposition, emphasizing its importance in various applications and the implications of a well-chosen model.
Construction of an Iterative Method
Covers the construction of an iterative method for linear systems, emphasizing matrix decomposition and convexity.
Orthogonal Families and Projections
Explains orthogonal families, bases, and projections in vector spaces.