It's funny how long one can sometimes labour under a false assumption in spite of the evidence clearly to the contrary. Just look at religious people! Hah! Barrel of laughs.
*warning mathematic content*
So having deduced that eigenvectors of a symmetric matrix are orthogonal, I assumed that a matrix comprised of said eigenvectors was naturally orthogonal. Which is why I got rather confused when my matrix of eigenvectors, B, was not B-having like a orthogonal matrix. Indeed it was violating all properties of being orthogonal, its determinant was not +/-1 its transpose was certainly not its inverse indeed it was being a right c***t.
Backwards and forwards I went checking my eigenvectors and eigenvalues, my arithmetic, over n over, coming up with the same results. Until I read up some more on orthogonal matrices on wikipedia and hit upon the phrase, it may be tempting to assume that a matrix whose columns are orthogonal is a orthogonal matrix. But it isn't. You tool. In fact a matrix comprised of orthogonal columns is completely not special at all and certainly not worth the several hours you spent f*king round with it. Its late. Go to bed.
Okay so maybe I paraphrased a little but you get the picture. Well maybe Anonymous does, probably everyone else is just staring blankly.
However the moral of this story is that just because you think its a duck, if it happens to be mooing, doesn't have feathers and ruminates, well then, even though its in a duck pond, chances are it sure as hell ain't a duck. So get a bigger rifle if you want to make it dinner.
The shorter moral is STOP ASSUMING SHIT. Dad and Mum could especially take that lesson to heart methinks......
PG Out
Tuesday, October 28, 2008
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2 comments:
of course is you orthonormalise those eigenvectors then hey presto! Hmmm now I have the hankering for beef pesto. Well. Better get back to work and stop pretending I'm checking my work email....
Better duck out and get some beef pesto and stop assuming it will simply appear!
Thank goodness for Wikipedia!
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