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Related lectures (24)
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Matrix Multiplication: Applications and Properties
Covers matrix multiplication, properties, and inverses in linear algebra.
Matrix Decomposition: Triangular and Spectral
Covers the decomposition of matrices into triangular blocks and spectral decomposition.
Linear Operators: Basis Transformation and Eigenvalues
Explores basis transformation, eigenvalues, and linear operators in inner product spaces, emphasizing their significance in Quantum Mechanics.
Characterization of Invertible Matrices
Explores the properties of invertible matrices, including unique solutions and linear independence.
Diagonalization of Symmetric Matrices
Explores diagonalization of symmetric matrices and their eigenvalues, emphasizing orthogonal properties.
SVD: Singular Value Decomposition
Covers the concept of Singular Value Decomposition (SVD) for compressing information in matrices and images.
Linear Systems: Diagonal and Triangular Matrices, LU Factorization
Covers linear systems, diagonal and triangular matrices, and LU factorization.
Diagonalization of Symmetric Matrices
Covers the diagonalization of symmetric matrices, the spectral theorem, and the use of spectral decomposition.
Symmetric Matrices: Properties and Decomposition
Covers examples of symmetric matrices and their properties, including eigenvectors and eigenvalues.
Diagonalization of Matrices
Explains the diagonalization of matrices, criteria, and significance of distinct eigenvalues.