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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.
https://matrix.openverbs.com/v1/determinantSolve 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 sys…
https://matrix.openverbs.com/v1/solveTranspose a matrix, swapping rows and columns. A ragged/empty matrix is a clean 400.
https://matrix.openverbs.com/v1/transposeMultiply 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.
https://matrix.openverbs.com/v1/multiplyInvert 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:fal…
https://matrix.openverbs.com/v1/inverse