Let a, b, x, y ∈Zbe such that ax+by= 11. May we conclude that gcd(a, b) = 11?Why or why not? (Write an explanation.)

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A: A=[2 1      1 2]I=[1 0      0 1]

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Q: Show that is isomorphic to Z2.

A:

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A: To find the following expressions

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A: The answer is in step2.

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A: We have to show that <a, b | a5 = b2 = e, ba = a2b> is isomorphic to Z2.

Q: Show that (AB)T and BTAT are equal.

A: Now,

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Q: Let A=[-1,7[,8={-1,3,10,12} and C={}}. Then (A-B) UC= *

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A: The elements in  which are relatively prime to are the elements of ..Two integers  and  are called…

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A: The answer provided below has been developed in a clear step by step manner.

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Q: 3A, B E {sets} such that A CBAA= B.

A: To check whether the given statement true or false: ∃A,B∈sets such that A⊆B∧A=B

Q: Find a number z (except 0) such that Az³ + Bz²+ Cz = D 2 1 3 0 -2 -4 00 ^-[ ] ³-R2 :]-[+]-[1] B= 1 2…

A: Solution