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Ortogonální matice a geometrie kvaternionů
 LOUDOVÁ, Michaela
The bachelor's thesis deals with orthogonal matrices and the geometry of quaternions. In the first part, on orthogonal matrices, important properties of these matrices are summarized. Next, it is described, what geometric transformations they describe in R^2 and R^3. At the end of the chapter on orthogonal matrices, several examples on rotations are solved. The second part of the thesis deals with quaternions and their use for describing vector rotations in R^3. At the beginning, several important properties of quaternions are described. Next, there is a general explanation of how to use quaternions to describe rotations in R^3. At the end of the chapter, two examples about vector rotations in R^3 are solved using quaternions.
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