Abstract
Definition of an orthogonal matrix. A property of orthogonal matrices. Properties of orthogonal matrices. Orthogonal transformations preserve lengths of vectors. Orthogonal transformations preserve angles.
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References
For the matrix results see Gantmacher (1959) or Horn and Johnson (1985). For Leontief systems, see Nikaido (1970) and Takayama (1985).
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© 2010 Springer-Verlag Berlin Heidelberg
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Sydsæter, K., Strøm, A., Berck, P. (2010). Special matrices. Leontief systems. In: Economists’ Mathematical Manual. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-28518-2_22
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DOI: https://doi.org/10.1007/978-3-540-28518-2_22
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-26088-2
Online ISBN: 978-3-540-28518-2
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