James Joseph Sylvester (1814–1897) was a prominent English mathematician known for his contributions to various fields, including algebra, matrix theory, and number theory. He played a pivotal role in the development of invariant theory and is credited with the introduction of several important concepts, such as Sylvester's law of inertia and the Sylvester matrix. Sylvester was also known for his work on determinants and his role in the early formation of the theory of linear transformations.

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