Matrix Algebra

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Dense linear algebra — multiply and transpose matrices, compute determinants, invert square matrices, and solve linear systems A·x = b via Gaussian elimination. Singular matrices return honest negative results rather than errors.

UtilityBasex402 v2exactmatrix.openverbs.com ↗︎
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Endpoints (5 live)

  • POST /v1/inverse — Invert a square matrix via Gauss-Jordan elimination. A non-square, ragged or empty matrix is a clean 400. A singular (non-invertible) matrix is NOT an error — it returns a successful { invertible:false, inverse:null }. (0.004 USDC on Base)
  • POST /v1/transpose — Transpose a matrix, swapping rows and columns. A ragged/empty matrix is a clean 400. (0.004 USDC on Base)
  • POST /v1/multiply — Multiply two matrices A·B. The inner dimensions must agree (columns of A equal rows of B); a mismatch or a ragged/empty matrix is a clean 400. (0.004 USDC on Base)
  • POST /v1/determinant — Compute the determinant of a square matrix via Gaussian elimination with partial pivoting. A non-square, ragged or empty matrix is a clean 400; a singular matrix simply returns 0. (0.004 USDC on Base)
  • POST /v1/solve — Solve the linear system A·x = b for a square coefficient matrix A and vector b via Gaussian elimination with partial pivoting. A non-square A or a b of the wrong length is a clean 400. A singular system is NOT an error — it returns a successful { solvable:false, solution:null }. (0.004 USDC on Base)

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