Use this matrix operation to transform, inspect, serialize, or decompose a rectangular numeric array with known dimensions and mathematical assumptions.

Matrix

Required list input.

Rank

Required integer input.

Iterations

Required integer input.

Approximate a nonnegative matrix with lower-rank nonnegative factors using multiplicative updates. The tool evaluates the supplied inputs together and returns the named outputs below; it does not infer omitted operating conditions or change the units shown.^[1]

Factorization

The resulting factorization returned as an object.

• Dimension compatibility, numeric conditioning, symmetry, positive definiteness, rank, scaling, tolerance, and floating-point precision affect matrix results. Serialization formats may lose types or precision.
• Use finite inputs in the displayed units and preserve more precision than the final presentation requires. Independently verify safety-critical, financial, compliance, or production decisions.

Check dimensions and prerequisites, compute reconstruction or residual error for decompositions, and compare ill-conditioned cases with a trusted numerical library.

• Cholesky Decomposition Calculator

  Factor a symmetric positive-definite matrix into a lower-triangular L where L times its transpose equals the input.

• Matrix Rank Calculator

  Count the pivots surviving Gaussian elimination with partial pivoting and a 1e-10 tolerance.

• Matrix Addition Calculator

  Add two equal-shaped numeric matrices.