Affine and Projective Transformations: The Fusion of Linear Algebra and Geometry behind CG and Perspective
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8 pages
Linear Algebra
Cayley-Hamilton Theorem: The Wondrous Property of a Matrix Satisfying Its Own Characteristic Equation
Diagonalization and Jordan Normal Form: The Ultimate Classification Method for Expressing Complex Matrices Simply
Geometric Meaning of the Determinant: More Than Just a Formula, It's the 'Volume Scale Factor' and 'Orientation Reversal'
Method of Least Squares: Finding the 'Best Fit Line' for Scattered Data using Linear Algebra
Singular Value Decomposition (SVD): Decomposing Any Matrix into Rotations and Scaling for Data Compression and AI
Eigenvalues and Eigenvectors: Special Vectors That Don't Change Direction Under Matrix Transformations and Their Applications
Gram-Schmidt Process: An Algorithm to Realign Distorted Basis Vectors into Neat, Mutually Orthogonal Vectors
