By 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