Matrix Workspace

• ISO 80000-2:2019 Quantities and units — Mathematics: Mathematical symbols and notation. This standard is not numerical verification or an endorsement of this implementation.
• CRC / Strang — Ax=b, LU/QR/SVD, four fundamental subspaces: LU + partial pivoting solve; det; Gauss–Jordan inverse; rank-nullity; Householder QR; one-sided Jacobi SVD; RREF; κ₁(A)
• NIST DLMF §3.2 — Linear Algebra: Gaussian elimination, LU decomposition, conditioning, eigenvalues, and eigenvectors.
• MIT OpenCourseWare — The Four Fundamental Subspaces: Column space, row space, nullspace, left nullspace, and their dimensions.
• MIT OpenCourseWare — Orthogonal Matrices and Gram-Schmidt: Orthogonal matrices and QR factorization; a mathematical reference, not a claim that this implementation uses Gram-Schmidt.
• MIT OpenCourseWare — Singular Value Decomposition: Singular-value decomposition and its relationship to orthogonal bases and matrix rank.
• MIT OpenCourseWare — Projection Matrices and Least Squares: Least-squares minimization, projections, and normal-equation relationships.
• NIST DLMF §1.2 — Elementary Algebra: Determinants, inverses, matrix identities, and linear-system relationships.
• NumPy — numpy.linalg.cholesky: Cholesky factorization A = LLᴴ (or UᴴU) for Hermitian positive-definite matrices, with the real symmetric case A = LLᵀ. This states the factorization and domain, not CalculatorX implementation details. Mathematical reference only; not validation or endorsement of this implementation.

These references explain the mathematics; they do not certify this implementation. See the capability contract and versioned Evidence.

Small real matrices stay in this browser. Det, inverse, rank, LU, Cholesky, QR and SVD (square or rectangular m×n with m,n from 2 to 4), least squares, RREF, condition number, nullspace, column space, rowspace, left-nullspace, eigen, multiply, transpose, and Ax=b use the same linearAlgebra engine as Linear System. Discovery pages: determinant, inverse, rank, eigenvalues, LU, Cholesky, QR, SVD, least squares, RREF, condition number, nullspace, column space, rowspace, left-nullspace. There is no /calc/math/matrix family nest and no CAS.