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Related lectures (25)
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Matrices and Orthogonal Transformations
Explores orthogonal matrices and transformations, emphasizing preservation of norms and angles.
Isometries in R^n
Explores the standard form of isometries in R^n and the preservation of distances.
Orthogonal Matrices, Equivalences
Explores the equivalence conditions for orthogonal matrices and includes examples of rotations.
Symmetric Matrices: Properties and Decomposition
Covers examples of symmetric matrices and their properties, including eigenvectors and eigenvalues.
Orthogonal Matrices and Eigenvalues
Explores orthogonal matrices, eigenvalues, and orientation-preserving transformations in linear algebra.
Orthogonal Matrices & Spectral Decomposition
Covers the process of finding orthogonal bases and spectral decomposition of symmetric matrices.
Projections and Symmetries
Explores projections on lines and symmetries in 2D space, emphasizing fixed points and symmetric matrices.
Orthogonal Projection Theorems
Covers the theorems related to orthogonal projection and orthonormal bases.
Symmetries of Wave Equation
Explores symmetries of the wave equation, linear transformations, and solutions.
Orthogonal Bases and Projection
Introduces orthogonal bases, projection onto subspaces, and the Gram-Schmidt process in linear algebra.