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Lecture
Change of Basis: Example
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Linear Transformations and Change of Bases
Covers linear transformations, change of bases, and diagonalization of matrices.
Generalization of Change of Basis Matrices
Covers linear algebra basics, including matrices, change of basis, and invertible matrices.
Linear Algebra: Matrices and Vector Spaces
Covers matrix kernels, images, linear applications, independence, and bases in vector spaces.
Linear Transformations: Injective and Surjective
Explores injective and surjective linear transformations, kernel, image, and matrix operations.
Linear Algebra: Basis and Matrices
Covers the concept of basis, linear transformations, matrices, inverses, determinants, and bijective transformations.
Eigenvalues and Eigenvectors in 3D
Explores eigenvalues and eigenvectors in 3D linear algebra, covering characteristic polynomials, stability under transformations, and real roots.
Linear Mapping and Bases
Explores linear mapping, isomorphism, and change of bases in vector spaces.