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

Matrix

Required list input.

Extract the main diagonal from a nonempty rectangular numeric matrix. 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]

Main diagonal

The resulting main diagonal returned as a list.

• 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.

• Matrix Trace Calculator

  Calculate the sum of the main diagonal of a square numeric matrix.

• Matrix Transpose Calculator

  Transpose a nonempty rectangular numeric matrix.

• Matrix as Table

  Convert a finite rectangular numeric matrix into canonical tool.io TableData with one Float64 field per matrix column.