Use this mathematical tool to inspect or reproduce the stated operation with inputs that satisfy its dimensional and domain requirements.

First matrix

Required list. Left factor with shape m x k.

Second matrix

Required list. Right factor with shape k x n.

The cited overview of Matrix (mathematics) supplies background for the terminology and domain context used by this tool.^[1]

Multiply two compatible matrices using the standard row-by-column dot products. Inputs are interpreted exactly in the displayed units and the calculation returns the following fields without presentation rounding.

Product

Returned list. Matrix product with shape m x n.

• Floating-point rounding, ill-conditioned inputs, singular cases, tolerance choices, and rapidly growing output sets can affect numerical accuracy or feasibility.
• Use finite inputs in the displayed units, preserve source measurements and assumptions, and independently verify consequential decisions.

Check the result analytically on a small case and use an established numerical or symbolic library with suitable precision and diagnostics for consequential work.

• Matrix Addition Calculator

  Add two equal-shaped numeric matrices.

• Matrix Dimensions Tool

  Return row and column counts for a rectangular numeric matrix.

• Matrix Scalar Multiplication Calculator

  Multiply every numeric matrix entry by a scalar.