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Direct linkBaksalary, Oskar Maria; Trenkler, Gotz – International Journal of Mathematical Education in Science and Technology, 2010
By considering a general representation of proper rotation matrices, the eigenvalues and eigenspaces of those matrices are identified.
Descriptors: Matrices, Algebra, Factor Analysis, Spatial Ability
Trenkler, Gotz – International Journal of Mathematical Education in Science & Technology, 2006
For two given vectors of the three-dimensional Euclidean space we investigate the problem of identifying all rotations that transform them into each other. For this purpose we consider three types of rotation matrices to obtain a complete characterization. Finally some attention is paid to the problem of obtaining all rotations taking two vectors…
Descriptors: Algebra, Geometric Concepts, Transformations (Mathematics), Factor Analysis
