Which of the following structures is a field?(Z9, +, x).An integral domain with 81 elements.The set of(Z, +, x).invertible matrices with ordinary addition and multiplication of matrices.

To identify which of the given structure is field and which is not a field .

Answered: Which of the following structures is a…

Which of the following structures is a field? (Zg, +, X). An integral domain with 81 elements. The set of all invertible matrices with ordinary addition and multiplication of matrices. (Z, +,x).

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.3: Matrix Algebra

Problem 89E

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Question

Which of the following structures is a field?
(Z9, +, x).
An integral domain with 81 elements.
The set of
(Z, +, x).
invertible matrices with ordinary addition and multiplication of matrices.

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