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When I search this term,- Coefficient of Linearity as a general search in Google, Lucky link is Coefficient of determination, I mean the first one what I am getting to.
But is that suffices, I have eye sight problem, unfortunately, Yes I read determination as differentiation at first sight. So got to writ over here again. I hope you folks can feel the difference. Maybe there is one, say Nabla or so.
First when I look at the article, it needs to be written even more as because the term Modern Algebra not referred. Means it can be driven with however the way you calculate so, addition, subtraction and so on of Matrices. Considering the one or more stands as Principal. Because it was not clearly explained by anyone so, rather been talked like what your book say so about it in this Talk page,- Talk:Matrix (mathematics) earlier & concluded and been edited, accepted.
Polynomial expansion clearly can be segregated for sure to more than one Linear Equation at its granularity, unless it reportedly dual by nature which might occur probably in Binomial Expansion very commonly. In any given non-linear equation, there exists at-least one Linearity. For anymore complexity, maybe by Principal,- Principal Matrix. So Editorial Team may intervene.
I disagree with Matrix addition, subtraction even if it is just Mathematics.
All I need is reference of Modern Algebra. It can be written well to have this compliance for fulfillment maybe to have clarity on Mathematical Proofing,- right, like, this has to be exactly should be done like this or could be done like this. The clarity that this Article needs.
—
Dev Anand Sadasivam
t@lk
18:48, 11 August 2018 (UTC)
The section on 'History' mentions a very early use of matrices in China, then says that Cardano 'brought the method to Europe' in the 16th century. This might be interpreted as meaning that Cardano was aware of the ancient Chinese example and then introduced it to Europe. This seems highly unlikely. If it is not the intended meaning, I suggest the text should say just that Cardano was the first mathematician to use the method in Europe. Incidentally, the article on Cardano does not seem to mention his contribution to the subect. 109.150.6.195 ( talk) 20:33, 29 December 2019 (UTC)
I have edited the "See also" section for displaying the short descriptions of the linked articles. I leave to others to decide which links are relevant here. D.Lazard ( talk) 11:29, 3 May 2020 (UTC)
Years ago, I seem to recall a Wikipedia page that showed examples of rectangular matrices that did not require SVD. I think some carried names. I've searched Wikipedia and Google, and now I find nothing. Any ideas on where to find such examples? Charles Juvon ( talk) 21:25, 3 September 2020 (UTC)
The definition is unclear: in the very first sentence it is just a way of representation -- mathematical quantities in a rectangular array. In this sense, a calendar sheet that shows the dates of a month arranged by weeks would also be a matrix. Later comes the statement that you can add or even multiply matrices, which goes beyond that. Then, it again says that "major application of matrices is to represent linear transformations" (should probably read linear map), so if this is just the major application, calendar sheets would indeed fall into the category matrix. But then below under the heading "Definition" addition and multiplication are again required, and essentially all the rest of the article is about computations on matrices. Historically, Sylvester's introduction of the term also is only in the context of computability. I would argue to restrict the meaning of matrix here to those rectangular arrays of quantities that at least allow meaningful matrix multiplication, and I think that I am in line with most textbooks on that. Specifically, the introduction should reflect that explicitly. What are your thoughts on that? Seattle Jörg ( talk) 07:39, 27 July 2021 (UTC)
In mathematics, a matrix (plural matrices) is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, that is used to represent a mathematical object or a property of such an object. Generally, the operations on the represented objects are reflected by corresponding matrix operations. Without further specifications, matrices represent linear maps; their scalar multiplication, addition and multiplication correspond to scalar multiplication, addition and composition of linear maps.
Thanks everyone for your input to create this. I believe the matrix example near the top should show the subscripts for the first two columns to be: a11, a21, a31, am1 and a12, a22, a32, am3 (the row subscripts are not indexing on the example). The last column follows the proper format. CarmenRx ( talk) 13:08, 10 September 2023 (UTC)
In the first sentence, we read: ... table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object .... But numbers are mathematical objects. Some other wording is needed. English isn't my first language, so I cannot propose any better wording. -- Andres ( talk) 19:54, 8 October 2023 (UTC)
which is used to represent a mathematical object or a property of such an object
It seems to me that neither infinite matrices nor empty matrices can be subsumed under the official definition, so the presentation is inconsistent. By the way, there is another generalization: hypermatrix. -- Andres ( talk) 22:16, 8 October 2023 (UTC)
Under "basic operations" subtraction isn't mentioned (it is twice under generalizations). Matrix subtraction is a redirect to Matrix addition. But there subtraction isn't mentioned. Subtraction doesn't reduce to addition when we have no operation of opposite (opposite element, that is, inverse element as to addition). So we should have either subtraction or opposite among basic operations. -- Andres ( talk) 00:56, 9 October 2023 (UTC)
In the case of real and complex numbers the opposite is multiplication by –1. I don't know ho far this can be generalized. In any case, this should be mentioned, I think. -- Andres ( talk) 01:01, 9 October 2023 (UTC)
The redirect
Matrix Theory and Linear Algebra has been listed at
redirects for discussion to determine whether its use and function meets the
redirect guidelines. Readers of this page are welcome to comment on this redirect at
Wikipedia:Redirects for discussion/Log/2023 November 15 § Matrix Theory and Linear Algebra until a consensus is reached.
Steel1943 (
talk)
20:58, 15 November 2023 (UTC)
The redirect
Matrix(mathematics) has been listed at
redirects for discussion to determine whether its use and function meets the
redirect guidelines. Readers of this page are welcome to comment on this redirect at
Wikipedia:Redirects for discussion/Log/2023 November 15 § Matrix(mathematics) until a consensus is reached.
Steel1943 (
talk)
21:00, 15 November 2023 (UTC)
This is the
talk page for discussing improvements to the
Matrix (mathematics) article. This is not a forum for general discussion of the article's subject. |
Article policies
|
Find sources: Google ( books · news · scholar · free images · WP refs) · FENS · JSTOR · TWL |
Archives:
1,
2,
3Auto-archiving period: 365 days
![]() |
![]() | Matrix (mathematics) has been listed as one of the Mathematics good articles under the good article criteria. If you can improve it further, please do so. If it no longer meets these criteria, you can reassess it. | ||||||||||||
| |||||||||||||
Current status: Good article |
![]() | This ![]() It is of interest to the following WikiProjects: | ||||||||||
|
When I search this term,- Coefficient of Linearity as a general search in Google, Lucky link is Coefficient of determination, I mean the first one what I am getting to.
But is that suffices, I have eye sight problem, unfortunately, Yes I read determination as differentiation at first sight. So got to writ over here again. I hope you folks can feel the difference. Maybe there is one, say Nabla or so.
First when I look at the article, it needs to be written even more as because the term Modern Algebra not referred. Means it can be driven with however the way you calculate so, addition, subtraction and so on of Matrices. Considering the one or more stands as Principal. Because it was not clearly explained by anyone so, rather been talked like what your book say so about it in this Talk page,- Talk:Matrix (mathematics) earlier & concluded and been edited, accepted.
Polynomial expansion clearly can be segregated for sure to more than one Linear Equation at its granularity, unless it reportedly dual by nature which might occur probably in Binomial Expansion very commonly. In any given non-linear equation, there exists at-least one Linearity. For anymore complexity, maybe by Principal,- Principal Matrix. So Editorial Team may intervene.
I disagree with Matrix addition, subtraction even if it is just Mathematics.
All I need is reference of Modern Algebra. It can be written well to have this compliance for fulfillment maybe to have clarity on Mathematical Proofing,- right, like, this has to be exactly should be done like this or could be done like this. The clarity that this Article needs.
—
Dev Anand Sadasivam
t@lk
18:48, 11 August 2018 (UTC)
The section on 'History' mentions a very early use of matrices in China, then says that Cardano 'brought the method to Europe' in the 16th century. This might be interpreted as meaning that Cardano was aware of the ancient Chinese example and then introduced it to Europe. This seems highly unlikely. If it is not the intended meaning, I suggest the text should say just that Cardano was the first mathematician to use the method in Europe. Incidentally, the article on Cardano does not seem to mention his contribution to the subect. 109.150.6.195 ( talk) 20:33, 29 December 2019 (UTC)
I have edited the "See also" section for displaying the short descriptions of the linked articles. I leave to others to decide which links are relevant here. D.Lazard ( talk) 11:29, 3 May 2020 (UTC)
Years ago, I seem to recall a Wikipedia page that showed examples of rectangular matrices that did not require SVD. I think some carried names. I've searched Wikipedia and Google, and now I find nothing. Any ideas on where to find such examples? Charles Juvon ( talk) 21:25, 3 September 2020 (UTC)
The definition is unclear: in the very first sentence it is just a way of representation -- mathematical quantities in a rectangular array. In this sense, a calendar sheet that shows the dates of a month arranged by weeks would also be a matrix. Later comes the statement that you can add or even multiply matrices, which goes beyond that. Then, it again says that "major application of matrices is to represent linear transformations" (should probably read linear map), so if this is just the major application, calendar sheets would indeed fall into the category matrix. But then below under the heading "Definition" addition and multiplication are again required, and essentially all the rest of the article is about computations on matrices. Historically, Sylvester's introduction of the term also is only in the context of computability. I would argue to restrict the meaning of matrix here to those rectangular arrays of quantities that at least allow meaningful matrix multiplication, and I think that I am in line with most textbooks on that. Specifically, the introduction should reflect that explicitly. What are your thoughts on that? Seattle Jörg ( talk) 07:39, 27 July 2021 (UTC)
In mathematics, a matrix (plural matrices) is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, that is used to represent a mathematical object or a property of such an object. Generally, the operations on the represented objects are reflected by corresponding matrix operations. Without further specifications, matrices represent linear maps; their scalar multiplication, addition and multiplication correspond to scalar multiplication, addition and composition of linear maps.
Thanks everyone for your input to create this. I believe the matrix example near the top should show the subscripts for the first two columns to be: a11, a21, a31, am1 and a12, a22, a32, am3 (the row subscripts are not indexing on the example). The last column follows the proper format. CarmenRx ( talk) 13:08, 10 September 2023 (UTC)
In the first sentence, we read: ... table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object .... But numbers are mathematical objects. Some other wording is needed. English isn't my first language, so I cannot propose any better wording. -- Andres ( talk) 19:54, 8 October 2023 (UTC)
which is used to represent a mathematical object or a property of such an object
It seems to me that neither infinite matrices nor empty matrices can be subsumed under the official definition, so the presentation is inconsistent. By the way, there is another generalization: hypermatrix. -- Andres ( talk) 22:16, 8 October 2023 (UTC)
Under "basic operations" subtraction isn't mentioned (it is twice under generalizations). Matrix subtraction is a redirect to Matrix addition. But there subtraction isn't mentioned. Subtraction doesn't reduce to addition when we have no operation of opposite (opposite element, that is, inverse element as to addition). So we should have either subtraction or opposite among basic operations. -- Andres ( talk) 00:56, 9 October 2023 (UTC)
In the case of real and complex numbers the opposite is multiplication by –1. I don't know ho far this can be generalized. In any case, this should be mentioned, I think. -- Andres ( talk) 01:01, 9 October 2023 (UTC)
The redirect
Matrix Theory and Linear Algebra has been listed at
redirects for discussion to determine whether its use and function meets the
redirect guidelines. Readers of this page are welcome to comment on this redirect at
Wikipedia:Redirects for discussion/Log/2023 November 15 § Matrix Theory and Linear Algebra until a consensus is reached.
Steel1943 (
talk)
20:58, 15 November 2023 (UTC)
The redirect
Matrix(mathematics) has been listed at
redirects for discussion to determine whether its use and function meets the
redirect guidelines. Readers of this page are welcome to comment on this redirect at
Wikipedia:Redirects for discussion/Log/2023 November 15 § Matrix(mathematics) until a consensus is reached.
Steel1943 (
talk)
21:00, 15 November 2023 (UTC)