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A-R-Q
 Post subject: WrongWrong, A.S. (1)
PostPosted: Sun, 1 Apr 2012 02:03:00 UTC 
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http://i1084.photobucket.com/albums/j40 ... rong-2.png


Apparently both of them are assessed as "Wrong" by the e-assignment. What exactly did I do wrong?
I literally did 3 other questions that had similar format like this and I got 3 more "Wrongs". I will post those after.
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outermeasure
 Post subject: Re: WrongWrong, A.S. (1)
PostPosted: Sun, 1 Apr 2012 04:30:56 UTC 
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A-R-Q wrote:
http://i1084.photobucket.com/albums/j409/QRAWarrior/MATA30Y-WrongWrong-2.png


Apparently both of them are assessed as "Wrong" by the e-assignment. What exactly did I do wrong?
I literally did 3 other questions that had similar format like this and I got 3 more "Wrongs". I will post those after.


(1) Check your third line from bottom. You copied the partial fractions wrong (what kind of decomposition would give you \frac{2}{x}+\frac{1}{x}+\cdots?).

(2) Is it 7x^2-2x-7 as in the first line, or 7x^2-2x+7 as in all subsequent lines?

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\begin{aligned} Spin(1)&=O(1)=\mathbb{Z}/2&\quad&\text{and}\\ Spin(2)&=U(1)=SO(2)&&\text{are obvious}\\ Spin(3)&=Sp(1)=SU(2)&&\text{by }q\mapsto(\mathop{\mathrm{Im}}\mathbb{H}\ni p\mapsto qp\bar{q})\\ Spin(4)&=Sp(1)\times Sp(1)&&\text{by }(q_1,q_2)\mapsto(\mathbb{H}\ni p\mapsto q_1p\bar{q_2})\\ Spin(5)&=Sp(2)&&\text{by }\mathbb{HP}^1\cong S^4_{round}\hookrightarrow\mathbb{R}^5\\ Spin(6)&=SU(4)&&\text{by the irrep }\Lambda_+\mathbb{C}^4 \end{aligned}
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