Vector and matrix operations

Related lectures (23)

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Covers the properties and operations of vector spaces, including addition and scalar multiplication.

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

Covers advanced physics topics such as definitions, rectilinear motion, vectors, and motion in three dimensions.

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

Covers the definition and properties of vector spaces, along with examples like Euclidean spaces and matrix spaces.

Covers calculations in coordinates for vectors, including bases, scalar product, and determinants, with geometric interpretations and examples.

Covers vector components, projections, conventions, operations, and mathematical identities.

Introduces vector spaces, subspaces, linear maps, and evaluation maps, with examples and exercises for better comprehension.

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

Covers linear applications, matrices, transformations, and the principle of superposition.