Timeline for Statement of Lagrange's theorem on determinants(elementary question).
Current License: CC BY-SA 2.5
12 events
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Jan 18, 2010 at 16:03 | comment | added | Harry Gindi | Oh, that's such an overgeneralization. His sections on Galois theory and commutative algebra are among the best i've seen. I prefer Lang to Atiyah-MacDonald for commutative algebra for the most part. | |
Jan 18, 2010 at 15:46 | answer | added | darij grinberg | timeline score: 2 | |
Jan 18, 2010 at 13:24 | comment | added | darij grinberg | Can't you say that about all of Lang's book? | |
Jan 18, 2010 at 5:02 | comment | added | Harry Gindi | There are three or four sections on elmination theory in Lang in chapter 9. They are a very tedious and hard-to-follow read. | |
Jan 17, 2010 at 21:39 | vote | accept | Anweshi | ||
Jan 17, 2010 at 21:33 | vote | accept | Anweshi | ||
Jan 17, 2010 at 21:33 | |||||
Jan 17, 2010 at 21:19 | answer | added | Chris Godsil | timeline score: 5 | |
Jan 17, 2010 at 21:11 | comment | added | Qiaochu Yuan | According to (half of the copies of) the Wikipedia article, Lagrange is supposed to have worked on determinants in relation to elimination theory, so perhaps you should look at a textbook specific to elimination theory instead. | |
Jan 17, 2010 at 20:56 | history | edited | Anweshi | CC BY-SA 2.5 |
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Jan 17, 2010 at 20:54 | comment | added | Anweshi | I am able to prove this statement itself in a very straightforward manner using axiomatic properties of the determinant. I am only worrying about the more general theorem. | |
Jan 17, 2010 at 20:47 | comment | added | Steven Gubkin | I don't know what theorem of Lagrange this follows from, but you are aware that this follows easily from the definition of the determinate as the unique alternating multilinear form on Mat_n(R) sending the identity to 1, right? Also see mth.kcl.ac.uk/~jrs/gazette/blocks.pdf | |
Jan 17, 2010 at 20:37 | history | asked | Anweshi | CC BY-SA 2.5 |