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Symmetric Matrices in n Dimensions

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Linear Algebra Through Geometry

Part of the book series: Undergraduate Texts in Mathematics ((UTM))

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Abstract

In the cases of dimensions 2 and 3, we have seen that a special role is played by symmetric matrices, those matrices that are equal to their own transposes. The same definition works in ℝ n for n ≥ 4, and as in the case of lower dimensions, these matrices have special properties that make them particularly valuable in the analysis of quadratic forms.

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© 1992 Springer-Verlag New York, Inc.

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Banchoff, T., Wermer, J. (1992). Symmetric Matrices in n Dimensions. In: Linear Algebra Through Geometry. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4390-8_31

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  • DOI: https://doi.org/10.1007/978-1-4612-4390-8_31

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-8752-0

  • Online ISBN: 978-1-4612-4390-8

  • eBook Packages: Springer Book Archive

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