Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Solve q1 and use the information from second picture that i highlight by red pen Plz solve this correctly i need perfect soloution
2. Consider the subset 1 S = 0 1 c : a, b, c E Z, > C SL3(Z3). 0 0 1 (a) Show that S is a subgroup of SL3(Z3). (b) Show that every non-trivial element of S has order 3. (c) Is S abelian? Justify your answer.
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Transcribed Image Text:2. Consider the subset 1 S = 0 1 c : a, b, c E Z, > C SL3(Z3). 0 0 1 (a) Show that S is a subgroup of SL3(Z3). (b) Show that every non-trivial element of S has order 3. (c) Is S abelian? Justify your answer.
1. Recall from question 2 of the last assignment the subgroup -{() 1 a b 0 1 c 0 0 1 S = b, ce Z< SL3(Zs). As a matrix group S can act on the vector space Z. Find all the orbits of this action and for each orbit determine the stabilizer of one of the points.
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Transcribed Image Text:1. Recall from question 2 of the last assignment the subgroup -{() 1 a b 0 1 c 0 0 1 S = b, ce Z< SL3(Zs). As a matrix group S can act on the vector space Z. Find all the orbits of this action and for each orbit determine the stabilizer of one of the points.
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