Geometric Rotations in 2D

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Conformal Transformations: Part 1

Covers the topic of conformal transformations, including translations, dilations, rotations, and the conformal algebra.

Analytical Geometry: Rotation and Center

Explores rotation in analytical geometry, including center coordinates and fixed points.

Geometric Transformations in the Plane: Orientation

Covers the concept of orientation in the plane and transformations using matrices.

Vector Transformation and Tense

Explores the transformation of vectors and tensors, including rotations and representations in quantum physics.

Geometry: Reflections and Transformations

Explores geometry transformations, emphasizing isometries, point reflections, rotations, and translations to illustrate fundamental geometric principles.

Geometry: Transformations and Isometries

Explores transformations and isometries in geometry, preserving properties through translations, rotations, and reflections.

Geometric Transformations in R2 and R3: Visualizations and Rotations

Covers visualizations in orthonormal bases in R2, focusing on rotations and reflections.

Linear Algebra: Canonical Basis

Explores the canonical basis in linear algebra, focusing on matrix representation, diagonalizability, and characteristic polynomials.

Linear Algebra: Diagonalization

Explores the diagonalization of matrices and the conditions for exact diagonalization, with examples demonstrating the process.

Reflection and Rotation Composition

Explores reflection and rotation composition in analytical geometry, including finding centers and solving fixed point systems.