Linear Algebra: Operations and Applications

Related lectures (25)

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Introduces eigenspaces in linear algebra through definitions and practical examples of determining eigenspaces for matrices.

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

Covers linear transformations using matrices, focusing on linearity, image, and kernel.

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

Explores linear dependence and independence of vectors in geometric spaces.

Explores systems of linear equations, transformations, dilatation, rotation, and cross ratios in linear algebra.

Covers linear independence, bases, and coordinate systems with examples and theorems.

Explores eigenvalues and eigenvectors in 3D linear algebra, covering characteristic polynomials, stability under transformations, and real roots.

Covers exercises on matrices, vectors, and linear systems.

Explores linear algebra over integers, emphasizing solutions to A.x=b equations and Hermite normal form.