past paper,pure,matrix again

2008-02-17 12:27 am
here is the question
http://www2.hkedcity.net/sch_files/a/kst/kst-06185/public_html/tr1.jpg
http://www2.hkedcity.net/sch_files/a/kst/kst-06185/public_html/tr2.jpg

here is the suggested solution.
http://www2.hkedcity.net/sch_files/a/kst/kst-06185/public_html/tr.jpg
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i only want to ask part c.

i don't know the forth equal sign.

from aii,tr(AB)=tr(BA),only involve 2 matrix, but there are 3 matrix in the sol.

am i miss something?

回答 (1)

2008-02-17 12:49 am
✔ 最佳答案
Yes the forth equal sign is come from the definition of
(ST-TS)S=S(ST-TS)
Their trace should be equal
And this is the place where the given information is used


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