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Results tagged with existence-theorems
Search options answers only
not deleted
user 11142
23
votes
Accepted
Existence of Rational Orthogonal Matrices
Yes. It is a theorem of Cayley that the mapping $S \rightarrow (S-I)^{-1}(S+1)$ gives a correspondence between the set of $n\times n$ skew-symmetric matrices over $\mathbb{Q}$ and the set of $n\times …
- 96.4k
29
votes
Accepted
Is this 1974 claim still valid?
This claim is not valid. The big breakthrough was the paper below:
MR0839134 (88c:12011)
Kovacic, Jerald J.
An algorithm for solving second order linear homogeneous differential equations.
J. Symbo …
- 47.3k