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nomadreid replied to the thread Undergrad Erroneously finding discrepancy in transpose rule.Again, thanks, martinbn. Indeed. I think you mean I oversimplified or neglected the structures that accompany each. -
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But the usual identification of the complex numbers and the real plane sends ##a+bi## to ##(a,b)##. You are looking at something different. -
nomadreid replied to the thread Undergrad Erroneously finding discrepancy in transpose rule.Thanks very much, martinbn. As fresh_42 pointed out, I was (erroneously) thinking of the real plane along with extra structure...
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nomadreid reacted to martinbn's post in the thread Undergrad Erroneously finding discrepancy in transpose rule with Like.
What do you mean by a matrix in the real plane? The real plane is not the set of such matrices. More importantly why do you expect this...
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nomadreid replied to the thread Undergrad Erroneously finding discrepancy in transpose rule.Interesting! Thank you very much, fresh_42. I will look further into that.
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nomadreid reacted to fresh_42's post in the thread Undergrad Erroneously finding discrepancy in transpose rule with Like.
##\mathbb{C}\not\cong\mathbb{R}^2## The complex numbers are a field; the complex plane is not a field. If you want to identify them...
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nomadreid posted the thread Undergrad Erroneously finding discrepancy in transpose rule in Linear and Abstract Algebra.Obviously, there is something elementary I am missing here. To form the transpose of a matrix, one exchanges rows and columns, so...
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