Linear Algebra: Basis Change and Matrices

Related lectures (25)

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Covers the basics of linear algebra, including linear maps, bases, and matrix operations.

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

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

Covers the basics of linear mapping and coordinate systems.

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

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

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

Covers linear maps, matrices, and applications, including exercises on bases and invertibility.

Explores matrix representations of linear maps and their invariance, using examples and special cases.

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