On Hamilton’s Contribution to the Cayley-Hamilton Theorem
نویسنده
چکیده
In 1853 Hamilton showed that a general linear vector transformation in three dimensions satisfied a third-order equation. In this paper we indicate how Hamilton came to consider this transformation and what he did with it. Hamilton’s work was written in the language of quaternions, which he invented. We describe this work using vectors instead of the quaternions. In addition, we express Hamilton’s transformation as a matrix and show that the matrix and the transformation satisfy the same equation.
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