Advanced Linear Algebra: Matrices Conjugation and Equivalence

Related lectures (29)

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

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

Explains kernel, image, and linear maps, illustrating concepts with examples.

Covers the determination of matrices associated with linear transformations and explores the kernel and image concepts.

Explores endomorphisms, matrix equivalence, and the adjoint map as a group homomorphism.

Covers determining vector spaces, calculating kernels and images, defining bases, and discussing subspaces and vector spaces.

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

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

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

Explores properties of linear applications, including symmetric matrices and linearity in analysis.