Matrix multiplication is a mathematical operation combining two matrices to produce a new matrix. This operation involves calculating the dot product of rows from the first matrix and columns from the second matrix. It is a fundamental component in various computational fields, including computer graphics, machine learning, and cryptography. In zero-knowledge proofs, matrix multiplication often represents linear transformations within arithmetic circuits, essential for verifying computations.
Context
In the realm of digital assets and blockchain technology, matrix multiplication is a foundational operation within cryptographic schemes, particularly those used in zero-knowledge proofs for scaling and privacy. Optimizations in performing matrix multiplication efficiently are crucial for reducing the computational burden of generating and verifying proofs on resource-constrained devices. News related to advancements in cryptographic hardware or new proof systems often highlights improvements in handling these complex mathematical operations.
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