A determinantal proof of the Craig-Sakam
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Ingram Olkin
📂
Article
📅
1997
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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