On Thu, Oct 15, 2009 at 7:45 PM, Matt Rissler <discn...@gmail.com> wrote:
>
> Basically, I'm having student look for the x that makes the matrix
> singular, or the columns linearly dependent, or ...  However Sage
> behaves like so:
>
> sage: A=matrix([[0,1,1],[2,2,-2],[-1,x,3]])

You could also solve the problem by computing the determinant:

sage: A=matrix([[0,1,1],[2,2,-2],[-1,x,3]])
sage: f = A.det(); f
2*x - 2
sage: solve(f==0,x)
[x == 1]
sage: A.subs(x==1).rank()
2

William

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