Chapter 01. Some problems posed on vector spaces
๋ณธ ํฌ์คํ ์ Finite Dimensional Linear Algebra (Gokenbach)๋ฅผ ์ฐธ๊ณ ํ์๋ค.
1. Linear Equations
2. Best Approximation
2-1. Overdetermined linear systems
Orthogonality is a generalization of perpendicularity.
The range of any linear operator is a subspace of the co-domain.
2-2. Best approximation by a polynomial
3. Diagonalization
4. Summary
์์ผ๋ก ๋์ฌ ๊ฐ๋ ๋ค ์ ๋ฆฌ
- vector space
- field
- subspace
- spanning set
- basis
- linear operator
- kernel, range
- norm
- inner product
- orthogonal vectors
- projection
- coupled vs. decoupled systems
- eigenvalues and eigenvectors
Conclusion
๊ธฐ๋ณธ ๊ฐ๋ ์ ์ ํ์คํ๊ฒ ์์๋์.
ํน์ ๊ถ๊ธํ ์ ์ด๋ ์๋ชป๋ ๋ด์ฉ์ด ์๋ค๋ฉด, ๋๊ธ๋ก ์๋ ค์ฃผ์๋ฉด ์ ๊ทน ๋ฐ์ํ๋๋ก ํ๊ฒ ์ต๋๋ค.