Eigenvalues and Eigenvectors

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Explores linear algebra concepts, focusing on applications, bases, and matrices.

Covers kernels and images of linear transformations between vector spaces.

Explores the properties of linear transformations through step-by-step calculations and matrix manipulations.

Explores diagonalizability for linear transformations and matrices based on eigenvectors and eigenvalues.

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

Covers kernels and images of linear transformations between vector spaces, illustrating properties and providing proofs.

Explores normal equations, pseudo-solutions, unique solutions, and symmetric matrices in linear algebra.

Covers bases, transformations, and matrix decompositions in linear algebra.

Introduces linear applications, span, kernels, and images in vector spaces with illustrative examples and theorems.