𝔖 Bobbio Scriptorium
✦   LIBER   ✦

An analytical proof of Ogawa’s determinantal theorem

✍ Scribed by Xavier Bonnefond


Book ID
105752298
Publisher
Springer
Year
2011
Tongue
English
Weight
123 KB
Volume
83
Category
Article
ISSN
0001-9054

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


A determinantal proof of the Craig-Sakam
✍ Ingram Olkin 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 183 KB

The Craig-Sakamoto theorem states that if A and B are symmetric matrices, then (a) II -ctA -flBI = II -aAI II -/3BI for all a, /3 if and only if (b) AB = O. There are a number of proofs of this resttlt, the most common based on expansions of the logarithm of (a). The present proof is elementary in t