• The product of and is the matrix such that

  • (Friedberg 2.12) For any matrix

  • (Friedberg 2.13) Let and and

    • (Friedberg 2.14)
  • (Friedberg 2.17) Matrix multiplication is associative

  • (Friedberg e2.3.12)

  • Batch Matrix Multiplication is an operation that extends matrix multiplication to allow it to be performed per batch.

    More formally, if we have inputs

    Then

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