Matrices and Linear Mappings
The controversy between “Grassmannians” and “Quaternionists” finally ended in the victory of a third “competitor”, A.Cayley and his theory of matrices (see the quotations). This theory turned mathematics upside down to such an extent that some books on “geometry” from the beginning of the 20th century (for example that of Schreier and Sperner) were written entirely in the language of vectors and matrices.
KeywordsLinear Mapping Orthogonal Transformation Orthogonal Matrice Circulant Matrix Cayley Transform
Unable to display preview. Download preview PDF.