Three proofs of an identity involving derivatives of a positive definite matrix and its determinant

Bai-Ni Guo

Three proofs of an identity involving derivatives of a positive definite matrix and its determinant

Bai-Ni Guo guobaini@jzit.edu.cn

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Abstract

In the paper, three proofs for an identity involving derivatives of a positive definite matrix and its determinant are given using technique of linear algebra. The identity is basic in differential geometry.

Bai-Ni Guo Department of Applied Mathematics and Informatics, Jiaozuo Institute of Technology, Jiaozuo city, Henan 454000, China

Pages: 225–229
Date Published: 2003-06-01
Vol. 5 No. 2 (2003): CUBO, Matemática Educacional

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Published

2003-06-01

How to Cite

[1]

B.-N. Guo, “Three proofs of an identity involving derivatives of a positive definite matrix and its determinant”, CUBO, vol. 5, no. 2, pp. 225–229, Jun. 2003.