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Lecture
Power Calculation Application
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Related lectures (27)
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Linear Systems: Diagonal and Triangular Matrices, LU Factorization
Covers linear systems, diagonal and triangular matrices, and LU factorization.
Diagonalization of Matrices: Theory and Examples
Covers the theory and examples of diagonalizing matrices, focusing on eigenvalues, eigenvectors, and linear independence.
Singular Values: Definitions and Properties
Covers the concept of singular values in linear algebra and their properties, including diagonalization and practical examples.
PCA and BBP Phase Transition
Covers PCA application and BBP phase transition in a card game dataset.
Diagonalization of Matrices
Explores the diagonalization of matrices through eigenvectors and eigenvalues.
SVD: Singular Value Decomposition
Covers the concept of Singular Value Decomposition (SVD) for compressing information in matrices and images.
Eigenvalue Problems: Methods and Applications
Explores eigenvalue problems, iterative methods, convergence properties, and applications in computational physics.
Jacobi Method: Part I
Introduces the Jacobi method for solving linear systems by iteratively updating the diagonal elements of a matrix.
Advanced Analysis II: Matrix Diagonalization
Covers matrix diagonalization, compact sets, continuity of functions, and the Mandelbrot set.
Diagonalization of Matrices
Explores diagonalization of matrices, conditions, invertibility, rank, nullity, and eigenvectors.