mathwonk's latest activity
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Mmathwonk replied to the thread I About the existence of Hamel basis for vector spaces.This reminds me of how puzzled I was, when writing my first algebra book, by this question: find a vector basis of the product of a...
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Mmathwonk replied to the thread How can we teach students the difference between sequences and series?.Perhaps the answer is contained in your first point. I.e. perhaps one should teach sequences first and thoroughly, and only treat...
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Mmathwonk replied to the thread I ##(A/\mathfrak{a})_{\mathfrak{p}/\mathfrak{a}}## and its isomorphism?.fresh, I suspect you are helping train a bot.
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MI thought this was an interesting article that some of you may enjoy. It begins with: After finding the homeschooling life confining...
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Mmathwonk replied to the thread I Can one find a matrix that's 'unique' to a collection of eigenvectors?.In post #28, what matters is that the vectors xj span. And that they are eigenvectors is irrelevant. Indeed the eigenvectors of a...
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Mmathwonk replied to the thread I Can one find a matrix that's 'unique' to a collection of eigenvectors?.Sciencemaster:..."Is there anything else I'm missing here?" I would say you are missing the basic property of a linear transformation...
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Mmathwonk replied to the thread I Can one find a matrix that's 'unique' to a collection of eigenvectors?.k is the field of scalars in the matrix, e.g. k could be the reals. I think your analysis as to canceling out makes sense, but to me it...
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Mmathwonk replied to the thread I Confused by proof in Hocking and Young.I took a quick look at that book and wondered why you were interested in such a tedious approach to topology. Then I noticed some very...
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Mmathwonk replied to the thread I Can one find a matrix that's 'unique' to a collection of eigenvectors?.Thanks to pasmith and fresh_42, I think I finally understand your question. To paraphrase: A linear transformation is entirely...
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Mmathwonk replied to the thread My Grade 11 Math mark is eating me alive. What do I do?.Relax. You are not bad at math, rather you are clearly better than average, way better. But you seem to be blinded by something I...
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Mmathwonk replied to the thread Geometry: Similar Shapes.I believe all 6 similarities are possible with the numbers as given. E.g. with the numbers as given, one can apparently have angles...
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Mmathwonk replied to the thread Geometry: Similar Shapes.I admit I still find this confusing, but it seems to me that all 6 possible similarities can occur, still with only two final answers of...
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Mmathwonk replied to the thread Geometry: Similar Shapes.yes, I believe that is what I said.
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Mmathwonk replied to the thread Geometry: Similar Shapes.the triangles could be isosceles, and hence have self similarities. right? i.e. we seem to be making the unstated assumption that the...
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Mmathwonk replied to the thread Geometry: Similar Shapes.What surprised me was that there seem to be more than 2 ways the triangles can be similar, but they yield only 2 results for the...
