Linear Algebra
1.[Linear Algebra] System of linear equation
컴퓨터 비전 연구를 위한 선형대수학 정리
2.Gaussian Elimination (row reduction/echelon form)
가우스 소거법, 가우스-조단 소거법, 행사다리꼴, 기약행사다리꼴에 대한 정리
3.[Linear Algebra] Vector Operation
벡터, 스칼라, 벡터의 덧셈 및 스칼라 곱, linear combinations / Span의 정의
4.[Linear Algebra] Matrix Equation
matrix 관련 용어 및 정리와 기본 연산
5.[Linear Algebra] Type of Solution Set
Homogeneous 및 Nonhomogeneous linear system, linear system에서 해의 유형
6.[Linear Algebra] Matrix Algebra
행렬의 연산 특징들에 대해서
7.[Linear Algebra] Linear Independent
일차독립과 일차종속
8.[Linear Algebra] Linear Transformation
선형대수학 linear transformation
9.[Linear Algebra] The Inverse of a Matrix
Invertible matrix, Inverse of a matrix
10.[Linear Algebra] Invertible Matrix / Partitioned Matrix
Invertible matrix의 특성과 partitioned matrix
11.[Linear Algebra] LU Factorization
LU Factorization, PLU Factorization
12.[Linear Algebra] Subspace of Rn
Subspace, Column space, Null space, basis
13.[Linear Algebra] Dimension & Rank
Coordinate, Dimension, Rank
14.[Linear Algebra] Determinants
Determinants, Cofactor expansion, Cramer's rule, Determinants as area and volume
15.[Linear Algebra] Eigenvector & Eigenvalue
Eigenvectors, Eigenvalues
16.[Linear Algebra] Inner Product, Length, Orthogonality
Inner Product, Length, orthogonal, orthogonal complement
17.[Linear Algebra] Orthogonal Projection
Orthogonal Projection
18.[Linear Algebra] Gram-Schmidt Process & Least-Square Problems
Gram-Schmidt process, QR factorization, Least-squares problem
19.[Linear Algebra] Orthogonal Sets
orthogonal set, orthogonal basis, orthogonal projection, orthonormal set
20.[Linear Algebra] Diagonalization of Symmetric Matrix
symmetric matrix, orthogonally diagonalizable, spectral decomposition
21.[Linear Algebra] Quadratic Forms
Qudratic form, change of variable, principal axes
22.[Linear Algebra] Constrained Optimization
constrained optimization
23.[Linear Algebra] The Singular Value Decomposition
singular value decomposition, reduced SVD, Pseudoinverse