When doing first order linear differential equations...
How did this turn into this?
When doing first order linear differential equations...
How did this turn into this?
2 questions about marking.
1. Will I lose marks if I just write down the limit in questions asking for 'does this series converge, if so find its limit'?
2. Will I lose marks if I don't show fully working when row reducing in questions where it's just a step, e.g. finding eigenvectors I can just sometimes do it my head and will just write the final form.
Well if you want to find the limit of a series, unless it's that obvious how do you plan to do it by inspection though
But with 2 I also skip row reductions if it's that obvious. I think my tutor does as well.
I work around it by saying matrix*x = 0 therefore x = my answer
Good thing is that they're like we WANT to give you marks. So they don't have mark allocations like in the HSC so that they aren't limiting themselves.
So I reckon if you jumped some steps but didn't jump too excessively to get the right answer you'd get it. (But of course if you jumped too many steps only to get the wrong answer well that's another story)
(for the same linearly independence qn)
Another friend wants to know if there's fault in what he did and I can't really communicate anything
I could probably research it up but I feel as though InteGrand's answers are more comprehensible...
Is everyone still doing this? I'd very much like to participate.
Here's a problem I've been stuck on for a little while. Any takers?
Last edited by FritzTheCat; 16 Jul 2017 at 10:08 PM.
Consider the equation \lambda_1.v_1 + ... \lambda_m.v_m = 0. We need to show that all coefficients are zero. To do this, take the dot product of v_i to both sides to show that for arbitrary i = 1, 2, ... , m, \lambda_i = 0 (by the property of orthogonality). And we're done.
Last edited by sida1049; 16 Jul 2017 at 10:21 PM.
^{Bachelor of Science (Advanced Mathematics)/Bachelor of Arts III, USYD}
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