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.
@article{1696,
title = {Three proofs of an identity involving derivatives of a positive definite matrix and its determinant},
journal = {CUBO, A Mathematical Journal},
volume = {5},
year = {2003},
language = {en},
url = {http://dml.mathdoc.fr/item/1696}
}
Guo, Bai-Ni. Three proofs of an identity involving derivatives of a positive definite matrix and its determinant. CUBO, A Mathematical Journal, Tome 5 (2003) . http://gdmltest.u-ga.fr/item/1696/