algebra
Algebraic structures and operations
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- Repository
- ffsshhttiikk/opencode-agents-skills
- Last source activity
- February 28, 2026 at 22:46
- Detected SKILL.md language
- English
- Stars
- 3
- Forks
- 2
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SKILL.md
Source instructions · Read-only preview- name
- algebra
- description
- Algebraic structures and operations
- license
- MIT
- compatibility
- opencode
- metadata
- {"audience":"mathematicians","category":"mathematics"}
## What I do
- Solve equations and polynomial roots
- Factor expressions and find greatest common divisors
- Work with matrices and linear transformations
- Apply group, ring, and field theory
- Analyze vector spaces and basis transformations
- Solve systems of linear equations
## When to use me
When solving mathematical problems, working with abstract algebraic structures, or optimizing linear systems.
## Key Concepts
- **Quadratic Formula**: x = (-b ± √(b²-4ac))/2a for ax² + bx + c = 0
- **Matrix Multiplication**: (AB)_{ij} = Σ_k A_{ik}B_{kj}
- **Determinant**: det(A) nonzero implies matrix invertible
- **Eigenvalues**: Solutions to det(A - λI) = 0
- **Group**: Set with associative binary operation, identity, inverses
- **Field**: Commutative ring where nonzero elements form group
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