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Related lectures (22)

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Covers linear equations, vectors, and matrices, exploring their fundamental concepts and applications.

Explains the construction of U, verification of results, and interpretation of SVD in matrix decomposition.

Explores matrix operations, linear systems, solutions, and the span of vectors in linear algebra.

Introduces orthogonality between vectors, angles, and orthogonal complement properties in vector spaces.

Covers the basics of linear mapping and coordinate systems.

Covers matrix equations as linear combinations, vector spaces, and geometric interpretations.

Explores linear combinations of vectors and matrices in Rn, demonstrating geometric interpretations and matrix operations.

Explores landmarks, coordinates, vectors, coplanarity, Cartesian equations, and geometric rules in space.

Explains linear independence, basis, and matrix rank with examples and exercises.

Explores vector spaces, subspaces, bases, and linear combinations in R² and R³, including free and linked families.