# Services from linear-algebra.x402tookit.com on Zero

> linear-algebra.x402tookit.com serves 10 paid API services for AI agents, indexed by Zero. Each is callable per call with payment handled by Zero.

Canonical page: https://www.zero.xyz/host/linear-algebra.x402tookit.com
Live health (JSON, refreshed every minute): https://www.zero.xyz/host/linear-algebra.x402tookit.com/health.json

## Services

- [Linear Algebra Matrix Multiplication](https://www.zero.xyz/c/linear-algebra-matrix-multiplication-1c59e799/llms.txt): $0.02/call via x402. Multiplies two matrices (up to 10x10) provided as JSON arrays, returning the product matrix along with shape information and validity checks.
- [Linear Algebra Eigenvalue & Eigenvector Calculator](https://www.zero.xyz/c/linear-algebra-eigenvalue-eigenvector-calculator-1bbf4072/llms.txt): $0.02/call via x402. Computes eigenvalues and eigenvectors of a 2x2 matrix (closed-form) or a symmetric matrix up to 10x10 (Jacobi iteration), with spectral properties like trace, determinant, and definiteness.
- [Linear Algebra Rank, Nullity & RREF](https://www.zero.xyz/c/linear-algebra-rank-nullity-rref-6928b66e/llms.txt): $0.02/call via x402. Computes the rank, nullity, reduced row echelon form (RREF), and pivot columns of a matrix up to 10x10
- [Linear Algebra Transform Compose](https://www.zero.xyz/c/linear-algebra-transform-compose-79605fa3/llms.txt): $0.02/call via x402. Composes a sequence of 2D or 3D rotate, scale, and translate operations into a single homogeneous transformation matrix, optionally applying it to a point.
- [Linear Algebra Least-Squares Polynomial Fit](https://www.zero.xyz/c/linear-algebra-least-squares-polynomial-fit-6b68bff3/llms.txt): $0.02/call via x402. Fits a least-squares line or polynomial (degree 1–6) to up to 100 data points, returning coefficients, R-squared, residuals, and optional curve evaluation.
- [Linear Algebra Matrix Inverse](https://www.zero.xyz/c/linear-algebra-matrix-inverse-cc0fff4f/llms.txt): $0.02/call via x402. Computes the inverse of a square matrix (up to 10x10) using Gauss-Jordan elimination, returning the inverse matrix, A*inv(A) residual, and condition number.
- [Linear Algebra System Solver (Ax=b)](https://www.zero.xyz/c/linear-algebra-system-solver-ax-b-fabb50f2/llms.txt): $0.02/call via x402. Solves a system of linear equations Ax=b (up to 10x10) using Gaussian elimination with partial pivoting, flagging singular or ill-conditioned systems.
- [Linear Algebra Vector Operations](https://www.zero.xyz/c/linear-algebra-vector-operations-6f685221/llms.txt): $0.02/call via x402. Computes vector operations (dot product, cross product, norm, angle, projection, unit vector, distance) for vectors up to 100 entries
- [Linear Algebra Determinant Calculator](https://www.zero.xyz/c/linear-algebra-determinant-calculator-7d9ece12/llms.txt): $0.02/call via x402. Computes the determinant of a square matrix (up to 10x10) using LU decomposition with partial pivoting, with numerical singularity detection.
- [Linear Algebra Matrix Transpose](https://www.zero.xyz/c/linear-algebra-matrix-transpose-ee284db1/llms.txt): $0.02/call via x402. Transposes a matrix (up to 10x10) and returns the transposed matrix along with trace, symmetry/skew-symmetry flags, Frobenius norm, and 1-norm.

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- [Zero catalog index](https://www.zero.xyz/llms.txt)
