Abstract
In Chap. 7 we studied the operation of changing a basis for a real vector space. In particular, in the Theorem 7.9.6 and the Remark 7.9.7 there, we showed that any matrix giving a change of basis for the vector space \(\mathbb R^n\) is an invertible \(n\times n\) matrix, and noticed that any \(n\times n\) invertible yields a change of basis for \(\mathbb R^n\).
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Landi, G., Zampini, A. (2018). Spectral Theorems on Euclidean Spaces. In: Linear Algebra and Analytic Geometry for Physical Sciences. Undergraduate Lecture Notes in Physics. Springer, Cham. https://doi.org/10.1007/978-3-319-78361-1_10
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DOI: https://doi.org/10.1007/978-3-319-78361-1_10
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