3. (i) Show that is an idempotent in M₂(Z12). e= the idempotent e of part (i). (13) 69 (ii) Give an explicit description of the splitting of Z2 given by

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i would really appreciate if you do it fast, i need urgently. i will give thumbs up. thankyou!

(i)
Show that
e =
6.
9
is an idempotent in M2(Z12).
Give an explicit description of the splitting of Z, given by
(ii)
the idempotent e of part (i).
3.
Transcribed Image Text:(i) Show that e = 6. 9 is an idempotent in M2(Z12). Give an explicit description of the splitting of Z, given by (ii) the idempotent e of part (i). 3.
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