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Linear algebra and geometry

#linear-algebra · 87 entries. Projects, essays and notes, newest first. Page 3 of 4.

02-02-180EllipseNoteAnalytic geometry: shapes, perimeter, area, volume 02-02-181EllipsoidNoteAnalytic geometry: shapes, perimeter, area, volume 02-02-182HyperbolaNoteAnalytic geometry: shapes, perimeter, area, volume 02-02-183ParabolaNoteAnalytic geometry: shapes, perimeter, area, volume 02-02-184Plane EquationNoteAnalytic geometry: shapes, perimeter, area, volume 02-02-185SphereNoteAnalytic geometry: shapes, perimeter, area, volume 02-02-186Straight Line (Distance from point M(x₁, y₁))NoteAnalytic geometry: shapes, perimeter, area, volume 02-02-187Straight Line (General Form)NoteAnalytic geometry: shapes, perimeter, area, volume 02-02-188Inner product geometryNoteAngles and orthogonality 02-02-189Orthogonality conditionNoteAngles and orthogonality 02-02-1902D DistanceNoteDistance metrics and norms 02-02-1913D DistanceNoteDistance metrics and norms 02-02-192Absolute homogeneityNoteDistance metrics and norms 02-02-193Euclidean Norm (L₂ norm)NoteDistance metrics and norms 02-02-194General Metric propertiesNoteDistance metrics and norms 02-02-195Metric Triangle InequalityNoteDistance metrics and norms 02-02-196Norm definition constraintNoteDistance metrics and norms 02-02-197Norm Triangle InequalityNoteDistance metrics and norms 02-02-198Distance to affine subspaceNoteOrthogonal projections 02-02-199Normal Equation for general subspace U with basis BNoteOrthogonal projections 02-02-200Projection error (distance to subspace)NoteOrthogonal projections 02-02-201Projection matrix onto orthonormal basis BNoteOrthogonal projections 02-02-202Projection matrix Pπ onto UNoteOrthogonal projections 02-02-203Projection of x onto 1D subspace (line) U spanned by bNoteOrthogonal projections