Question
Let r be the set of Gaussian integers (complex numbers of the form m + ni where m and n are integers). Show that
Let r be the set of Gaussian integers (complex numbers of the form m + ni where m and n are integers). Show that I is a Ring with respect to the usual addition and multiplication of complex numbers (you need not verify explicitly standard properties of complex numbers) question b: Consider the Ring from above Question. Determine which elements of T have a multiplicative inverse.
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Linear Algebra and Its Applications
Authors: David C. Lay
4th edition
321791541, 978-0321388834, 978-0321791542
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