Linear Applications: Properties and Associated Matrices

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Explores isometries in Euclidean spaces, including translations, rotations, and linear symmetries, with a focus on matrices.

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

Explores linear applications, matrices, injectivity, surjectivity, and compositions of linear maps with examples and demonstrations.

Explores linear combinations of vectors and matrices in Rn, demonstrating geometric interpretations and matrix operations.

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

Explores isometries, distinguishing between rotations and reflections, and the preservation of orientation in geometric transformations.

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

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

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

Covers angular momentum in rotations, including preservation of angles and vector products.