Re: hw 5 question

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William Stein

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Feb 25, 2012, 12:45:54 AM2/25/12
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On Fri, Feb 24, 2012 at 5:57 PM, :
> On problem 1b) it says compute an explicit basis for the left kernel of A11.
> If I just do A.left_kernel() it gives me a basis matrix. Is that the basis
> you want or is that the left kernel and then I have to find a basis for
> that?

It would be best to find a basis. Hint: use the .basis() method on
the output of left_kernel().

> In 1c) is the explicit basis we're supposed to find the same as the
> span of the rows?

No. Find the span of the rows, then compute a basis for it.

> Basis matrices really confuse me so I'm having trouble understanding what
> exactly I'm supposed to find in parts b) and c).

Ask more questions if the above isn't sufficiently clear.


--
William Stein
Professor of Mathematics
University of Washington
http://wstein.org

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