Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Altmann SL (2003) Rotations, quaternions, and double groups. Clarendon Press, Oxford
Ben-Israel A, Greville TNE (2003) Generalized inverses: Theory and applications. Springer, New York
Groß J, Trenkler G, Troschke SO (2001) Quaternions: Further contributions to a matrix oriented approach. Linear Algebra and its Applications 326:205-213
Meyer CD (1972) The Moore-Penrose inverse of a bordered matrix. Linear Algebra and its Applications 5:375-382
Meyer CD (2000) Matrix analysis and applied linear algebra. SIAM, Philadelphia
Murray RM, Li Z, Sastry SS (1994) A mathematical introduction to robotic manipulation. CRC Press, Boca Raton
Pryce WJ (1969) Orthogonal matrices. The Mathematical Gazette 53:405-406
Rao CR, Mitra SK (1969) Generalized inverses of matrices and its applications. John Wiley, New York
Room TG (1952) The compositions of rotations in Euclidean three space. The American Mathematical Monthly 59:688-692
Selig JM (1996) Geometrical methods in robotics. Springer, New York
Trenkler G (1998) Vector equations and their solutions. Interna-tional Journal of Mathematical Education in Science and Technology 29:455-459
Trenkler G (2001) The vector cross product from an algebraic point of view. Discussiones Mathematicae, General Algebra and Applications 21:67-82
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2008 Physica-Verlag Heidelberg
About this chapter
Cite this chapter
Trenkler, G., Trenkler, D. (2008). The Vector Cross Product and 4 × 4 Skew-symmetric Matrices. In: Recent Advances in Linear Models and Related Areas. Physica-Verlag HD. https://doi.org/10.1007/978-3-7908-2064-5_6
Download citation
DOI: https://doi.org/10.1007/978-3-7908-2064-5_6
Publisher Name: Physica-Verlag HD
Print ISBN: 978-3-7908-2063-8
Online ISBN: 978-3-7908-2064-5
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)