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CTK Exchange
Quintopia
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Dec-03-04, 06:29 PM (EST) |
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"Vector in Null Space"
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Given an integer matrix A, what is the simplest way to find a rational vector in Nul A? Is there anyway to do it without finding the null basis? A method that is simple for a computer to do would be best. |
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Quintopia
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Dec-03-04, 00:06 AM (EST) |
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2. "RE: Vector in Null Space"
In response to message #1
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Indeed, it'should, so what is the best way for the computer to determine pivot columns. Assigning ones and zeroes to the free variables gives the null basis, but it seems like this is much more difficult to do with a computer than visually. |
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alexb
Charter Member
1401 posts |
Dec-04-04, 00:11 AM (EST) |
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3. "RE: Vector in Null Space"
In response to message #2
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>Indeed, it'should, so what is the best way for the computer
>to determine pivot columns. Assigning ones and zeroes to
>the free variables gives the null basis, but it seems like
>this is much more difficult to do with a computer than
>visually. As many other things. Have a look at the Numerical Recipes's site: https://www.nr.com There's an online version of the book.
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Quintopia
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Dec-07-04, 03:10 PM (EST) |
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4. "RE: Vector in Null Space"
In response to message #3
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I checked out the book. It didn't give me any insight on an easy way to compute this given that there are a greater number of unknowns than equations. I suppose I can just give up and write the algorithm myself, however inefficient it might be. |
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Isaac
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Dec-11-04, 10:36 AM (EST) |
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6. "sets"
In response to message #1
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perhaps someone will help me clarify whether the statement below is correct. It's not homework, (we're in christmas holidays), just something I'd like to iron out.
..if X =(AnB)^c then X is NOT in A and X in Not B.
(i.e. X^c means X compliment)
Thank you
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