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Is it always true that a 3x3 orthogonal matrix with determinant 1 has an eigenvalue 1? Because the notes say so, but I have a matrix which is orthogonal and has determinant 1, but according to maple it has 2 imaginary eigenvalues and one 0. Am I doing something wrong? :(

Hi, I recommend in this order: UWS Bangor Nottingham Trent Uni Uni of Strathclyde Anglia Ruskin Uni of Glamorgan

Sounds more a demand than a suggestion. Servers and the forum arent the only thing which requires money. Its all so easy for simple users to demand a server change since its not them that have to go through all the work to do it.

Looking at your posts, you place wayyyy too much emphasis on school ranking. Its not the be all and end all, and in my opinion doesnt affect what you'd predict as someones uai. School ranking doesnt have a huge effect, if i had made one of these threads with my marks and said my schools rank...

McSo Just look at his posts, pure brilliance

Hmm other than whats already been said, i honestly dont think theres a lot more to it. I mean once you get to the last question, you're looking at questions designed to separate the good students (those that can pull a few marks here and there) to the top ones who can answer pretty much all of...

:confused: The integral of ln(4x) isnt 1/x + c, the derivative of of it is 1/x. What do you mean y2, are you calculating volume?

>_<"

you cant, the flaw lies: This is similar to me saying something like: S(n): n = n2 S(1) is obviously true Assume S(k) is true for some k Proof of S(k+1): k+1 consists of k plus one numbers. From our assumption k numbers satisfy this and so does s(1), hence k+1. The base case (ie S(1)) is...

more like his myspace picture is legendary!

^^flawed proof

Yes, I am. Its simple, compare the maths taught at uws to, say, usyd or unsw, and you'll see. We dont learn the same level of knowledge, theres no university that offers exactly the same thing in computing, its up to the individual to find the one that offers nearest to what they want. Saying...

Agreed

Nope, just this one, and im quite sure its a network issue, i just cant think of what :/

Get used to differentiate ugly looking functions (often using the quotient rule). Also, get used to finding max/min values of these ugly functions. All the geometry laws should be stuck in your memory. Geometry questions in q10 often require laws many people either have forgotten or just dont...

lolz east and south sydney gangs

No need to lose confidence, plenty of people get over 90 without any maths or science, and people who do maths and science often dont get over 90 :)

Dont know (and no one does), but if you get 87 raw in the exam you should have no problem getting over 90.

Um, i'd be more optimistic and say 80-90, to be honest (im basically comparing your results to some people from my school, which was an average school).

Not as far as i know. The way i wouldve done it is consider f(x) = (x-e)(x-pi) = x2 - (e+pi)x + e*pi and use the fact that e and pi are transcendental