10 Services from linear-algebra.x402tookit.com

Multiplies two matrices (up to 10x10) provided as JSON arrays, returning the product matrix along with shape information and validity checks.

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.

Computes the rank, nullity, reduced row echelon form (RREF), and pivot columns of a matrix up to 10x10

Composes a sequence of 2D or 3D rotate, scale, and translate operations into a single homogeneous transformation matrix, optionally applying it to a point.

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.

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.

Solves a system of linear equations Ax=b (up to 10x10) using Gaussian elimination with partial pivoting, flagging singular or ill-conditioned systems.

Computes vector operations (dot product, cross product, norm, angle, projection, unit vector, distance) for vectors up to 100 entries

Computes the determinant of a square matrix (up to 10x10) using LU decomposition with partial pivoting, with numerical singularity detection.

Transposes a matrix (up to 10x10) and returns the transposed matrix along with trace, symmetry/skew-symmetry flags, Frobenius norm, and 1-norm.