Vector Spaces and Bases

Related lectures (25)

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Explores linear independence, bases, and dimension in vector spaces with examples involving matrices and polynomials.

Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.

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

Covers linear algebra basics, including matrices, change of basis, and invertible matrices.

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

Covers the method to calculate the images of vectors in a given base.

Introduces linear algebra basics, including linear independence, injectivity, surjectivity, and bases in vector spaces.

Introduces orthogonal families, orthonormal bases, and projections in linear algebra.

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

Explores matrix determinants, linear independence, and bases in vector spaces.