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Scalar fields and level sets
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Related lectures (29)
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Orthogonality and Characters
Explains orthogonality and characters in group representations, including equivalence classes and vector space dimensions.
Orthogonality and Least Squares Method
Covers orthogonal vectors, unit vectors, and the Pythagorean theorem in R^m.
Signal Representations
Covers the representation of signals in vector spaces and inner product spaces, including the Projection Theorem.
Linear Applications: Definitions and Properties
Explores the definition and properties of linear applications, focusing on injectivity, surjectivity, kernel, and image, with a specific emphasis on matrices.
Linear Algebra: Lecture Notes
Covers determining vector spaces, calculating kernels and images, defining bases, and discussing subspaces and vector spaces.
Linear Transformations: Matrices and Bases
Covers the determination of matrices associated with linear transformations and explores the kernel and image concepts.
Hermitian Forms: Definition and Properties
Explores the definition and properties of Hermitian forms in complex vector spaces.
Linear Combinations and Vector Spaces
Introduces linear combinations in vector spaces, operations, and polynomials of degree 2.
Linear Transformations: Kernels and Images
Covers kernels and images of linear transformations between vector spaces, illustrating properties and providing proofs.