Orthogonal Projections: Symmetry and Matrices

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Explores homotheties and translations in geometry, focusing on preserving alignment and distances.

Explores vector equations for lines in the plane and the concept of 'observation points'.

Explores symmetry and boundary conditions in finite element models, emphasizing the importance of maintaining symmetry for accurate modeling.

Explores glide reflection in analytical geometry, emphasizing fixed points and reflection matrices.

Explores injective functions in linear algebra, demonstrating how to prove injectivity step by step.

Explores affinity in geometry, segment construction, ellipses, and circle projections.

Explores triangle properties like inequalities, medians, and orthocenters using analytical geometry.

Explores geometric transformations like translation and homothety in the plane.

Covers the fundamentals of analytical geometry, focusing on vectors and their operations.