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CONTENT SUMMARY: pg 1: @ Reflection in a is determined by its action on null points
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Reflections and Projective Linear Algebra - Universal Hyperbolic Geometry
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- 1 CONTENT SUMMARY: pg 1: @ Reflection in a is determined by its action on null points
- 2 pg 2: @ Reflections on null points; null point, join of null points red, green, blue bilinear forms, a lies on L; null point reflection formula the star formula
- 3 pg 3: @ Linear algebra in 2 dim's in a nutshell; projective rather than affine linear algebra;
- 4 pg 4: @ Projective linear algebra in 2 dim's
- 5 pg 5: @ the star formula rewrite; The projective matrix of the point a; trace and determinant; a is a null point when determinant of its projective matrix is zero; trace zero matrix
- 6 pg 6: @ Reflection matrix theorem; example
- 7 pg 7: @ Point/matrix correspondence; sl2 Lie algebra; null point zero determinant exercise 15.1a
- 8 pg 8: @33:36 exercise 15.2; Reflection matrix conjugation theorem; pg 9: example of Reflection matrix conjugation theorem
- 9 pg 10: @ proof of Reflection matrix conjugation theorem
- 10 pg 11: @ 2 Corollaries THANKS to EmptySpaceEnterprise
