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Q: 7. With I as in Exercise 3, write out the distinct elements of E/I. XX 1 T

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Q: 4. If I₁ and 12 are two ideals of the ring R, prove that I₁₂ is an ideal of R.

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Q: 10. Find all maximal ideals of Z18.

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Q: =xa for all x in G. 8. For each a in the group G, define a mapping ha: G→G by ha(x): a. Prove that…

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Q: 2. Name some applications of algebra.

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Q: 6. Let R and I be as in Exercise 2, and write out the distinct elements of R/I.

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Q: Let A = Rref(A) Q3.1 -2 4269 2117 4269 2135 1 0 10 -1 10 1 2000 02 0 1 0 0 0 = 0 0 0 1 0 0 0 0 0 1…

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