Vector Calculus in 3D

Related lectures (27)

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

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

Covers vector spaces, operations, and linear independence with examples from polynomials and functions.

Introduces mechanics, differential and vector calculus, and historical perspectives from Aristotle to Newton.

Covers matrix kernels, images, linear applications, independence, and bases in vector spaces.

Covers orthogonal bases, Gram-Schmidt method, linear independence, and orthonormal matrices in vector spaces.

Covers diagonalization of matrices, eigenvectors, linear maps, and least squares method.

Introduces orthogonal bases, projection onto subspaces, and the Gram-Schmidt process in linear algebra.

Explains orthogonal families, bases, and projections in vector spaces.

Covers the basics of linear algebra, emphasizing the identification of subspaces through key properties.