.. _auto_matrix_multiply:

*COMPUTE THE PRODUCT OF TWO MATRICES*
=====================================

Computes the matrix product (A × B) of two input matrices. Use this worker whenever you need standard linear-algebra matrix multiplication inside a workflow, e.g. for coordinate transforms, stiffness assembly, or design-space projections.

When to use
-----------

Classification: **process**.

Tagged: ``linear_algebra``, ``math``, ``matrix``, ``multiply``, ``transform``.

Inputs
------

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   * - Label
     - ID
     - Type
     - Default
     - Required
     - Description
   * - Matrix 1
     - matrix1
     - matrix
     - —
     - 
     - Left-hand operand matrix (M × K); must be a numeric 2-D matrix whose column count matches the row count of Matrix 2.
   * - Matrix 2
     - matrix2
     - matrix
     - —
     - 
     - Right-hand operand matrix (K × N); must be a numeric 2-D matrix whose row count matches the column count of Matrix 1.

Outputs
-------

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   :header-rows: 1
   :widths: 20 20 20 20

   * - Label
     - ID
     - Type
     - Description
   * - matrix_multiply_output_1
     - matrix_multiply_output_1
     - matrix
     - Resulting product matrix (M × N) from the multiplication of Matrix 1 by Matrix 2; element type and precision match the inputs.

Disciplines
-----------

- data.dataset.transform

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   Auto-generated from <code>transformation</code> schema. Worker id: <code>matrix_multiply</code>. Schema hash: <code>9b6aa87b09dd</code>. Hand-curated docs in <code>workerexamples/</code> override this page when present.
   </p>