線性代數筆記
- Linear combination (線性組合):
w = c1v1 + c2v2 + ... + cnvn - Elimination Matrix (消去矩陣):
- Permutation Matrix (置換矩陣): e.g.
exhange rows 2 and 3, $P_{23}$ - Nonsingular matrix: it has a full set of
$n$nonzero pivots.
- Introduction to Vectors
- Solving linear equation
- Vector Spaces and subspaces
- Orthogonality
- Determinants
- Eigenvalues and eigenvectors
- Linear transformation
- Complex vectors and matrices
- Graphs and networks => E.g. Google search algorithm
- Fourier series
- Image compression
- 描述系統
- 電腦 3D
- 量子力學
- Linear Programming
- 博弈
- 經濟