Fun with polynomials and linear algebra; or, slight abstract nonsense
3 days ago
- #Chinese remainder theorem
- #linear algebra
- #polynomials
- Defines equivalence of vector spaces via invertible linear maps.
- Discusses finite-dimensional subspaces and their dimensions.
- Explores quotient spaces and their dimensions.
- Analyzes polynomial vector spaces and subspaces of divisible polynomials.
- Connects polynomial division to quotient spaces.
- Provides a linear algebraic version of the Chinese Remainder Theorem.
- Describes canonical maps and conditions for invertibility.
- Explores basis and matrix interpretations in finite-dimensional cases.