Published on: 2025-06-15 07:30:26
In the early 1930s, Pascual Jordan attempted to formalise the algebraic properties of Hermitian matrices. In particular: Hermitian matrices form a real vector space: we can add and subtract Hermitian matrices, and multiply them by real scalars. That is to say, if and are Hermitian matrices, then so is the linear combination . and are Hermitian matrices, then so is the linear combination . We cannot multiply Hermitian matrices and obtain a Hermitian result, unless the matrices commute. So the m
Keywords: hermitian matrices octonionic projective real
Find related items on AmazonPublished on: 2025-07-13 11:54:17
Projective Geometric Algebra Using one extra dimension, we obtain the plane-based Projective Geometric Algebra for 2 and 3 dimensions. Its elements are points, lines and planes. It includes elements at infinity and has exception free join and meet operations. Its even subalgebra provides in rotations & translations and is isomorphic to the dual quaternions
Keywords: algebra dimensions elements geometric projective
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