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This article was the subject of a Wiki Education Foundation-supported course assignment, between 8 September 2021 and 19 December 2021. Further details are available
on the course page. Student editor(s):
Laoer22.
Above undated message substituted from Template:Dashboard.wikiedu.org assignment by PrimeBOT ( talk) 00:45, 17 January 2022 (UTC)
Sorry to say so, but I think this page is too complicated.
Example from the introduction: "Over the field of real numbers, the set of singular n-by-n matrices, considered as a subset of R^{n \times n}, is a null set, i.e., has Lebesgue measure zero. (This is true because singular matrices can be thought of as the roots of the polynomial function given by the determinant.) "
Who cares? Sure, this may be an interesting aside, but it obfuscates more important things. In particular, since the "matrix inverse" page has been merged here, the extremely useful content that used to reside there should be clearer.
I have referred to Wikipedia's "matrix inverse" page innumerable times in the past to remind me how to do simple matrix inversion. (I forget these things!) Now when I look for that simple information I get overloaded with nonsense about the Lebesque measure of the set of singular matrices. Seriously?
Wikipedia used to be a good source for the basic explaination. If I needed more, I'd go to Mathworld- which was not very often, since I never understood what Wolfram was saying!
My request to the fantastic math heads writing this page: put the high-school stuff first, since that's what a lot people will want to see. Make it clear to people with minimum math background, and keep it simple when possible.
Thanks for the hard work. I'm just trying to help make the information useful for everyone.
Hawkeyek ( talk) 05:51, 10 April 2008 (UTC)
please!
I understand why you would not wish to post a general form for the inversion of a 3x3 matrix, but maybe a step by step with a simple example? Nightwindzero 05:52, 22 February 2007
The statement that "It is crucial for the matrix H to be invertible for the receiver to be able to figure out the transmitted information." is just plain wrong. The matrix H is not always square, and there are several better ways of decoding the transmitted signal, instead of inverting the channel matrix. I have never edited a Wikipedia page before, so I will figure that out before I make some correcting changes. — Preceding unsigned comment added by 89.160.119.209 ( talk) 11:00, 13 December 2013 (UTC)
A square matrix is singular if and only if it's determinant is zero.
A family of vectors are linearly independent if and only if the determinant of their matrix is zero.
I really think there should be a mention of linear independence here after the reference to singular matrices since singularity is equivalent to linear dependence, which also ties in to the discussion later about eigenvectors and such. There's already a page on linear independence so just a quick link would be nice.
SomeHandyGuy ( talk) 00:33, 4 June 2014 (UTC)
I think those phrases would appear more in text, i.e. someone reading and clicking wants to know what is an "inverse matrix", or how do I invert a matrix. Would it make sense to rename and reword this article? :-
"The inverse of a matrix 'A' is a matrix 'B' such that ... AB=I ; a matrix for which such an inverse exists is called 'invertible'..." Fmadd ( talk) 08:38, 4 February 2017 (UTC)
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I have just modified one external link on Invertible matrix. Please take a moment to review my edit. If you have any questions, or need the bot to ignore the links, or the page altogether, please visit this simple FaQ for additional information. I made the following changes:
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Somehow the formula for the inverse of a general 2x2 matrix is not showing correctly. The latex has a minus before the c but the output does not. I can't seem to fix it.— Preceding unsigned comment added by 92.194.124.84 ( talk) 15:18, 14 January 2021 (UTC)
I will reorder the theorems to show audiences that they can be explained by each others first. In addition, the formulas are hard to most audiences for understanding, so I will add some explanations on these formulas. Also, Invertible Matrix can be used in many concrete ways in real life but the application part only talks about few of it. In sub-title least square solutions, the invertible matrix is always used for data analyzing for predicting future data, and people always used it to create model of the relationship between the variables and output. For example, to analyze the price of house, the variables should be area, layout, swimming pool, and place and the output should be price. So, I will add more content on application part.
The redirect
Nonsingular 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 April 25 § Nonsingular until a consensus is reached.
1234qwer
1234qwer
4
23:04, 25 April 2023 (UTC)
![]() | This article is rated B-class on Wikipedia's
content assessment scale. It is of interest to the following WikiProjects: | ||||||||||
|
![]() |
Daily pageviews of this article
A graph should have been displayed here but
graphs are temporarily disabled. Until they are enabled again, visit the interactive graph at
pageviews.wmcloud.org |
This page has archives. Sections older than 365 days may be automatically archived by Lowercase sigmabot III when more than 10 sections are present. |
This article was the subject of a Wiki Education Foundation-supported course assignment, between 8 September 2021 and 19 December 2021. Further details are available
on the course page. Student editor(s):
Laoer22.
Above undated message substituted from Template:Dashboard.wikiedu.org assignment by PrimeBOT ( talk) 00:45, 17 January 2022 (UTC)
Sorry to say so, but I think this page is too complicated.
Example from the introduction: "Over the field of real numbers, the set of singular n-by-n matrices, considered as a subset of R^{n \times n}, is a null set, i.e., has Lebesgue measure zero. (This is true because singular matrices can be thought of as the roots of the polynomial function given by the determinant.) "
Who cares? Sure, this may be an interesting aside, but it obfuscates more important things. In particular, since the "matrix inverse" page has been merged here, the extremely useful content that used to reside there should be clearer.
I have referred to Wikipedia's "matrix inverse" page innumerable times in the past to remind me how to do simple matrix inversion. (I forget these things!) Now when I look for that simple information I get overloaded with nonsense about the Lebesque measure of the set of singular matrices. Seriously?
Wikipedia used to be a good source for the basic explaination. If I needed more, I'd go to Mathworld- which was not very often, since I never understood what Wolfram was saying!
My request to the fantastic math heads writing this page: put the high-school stuff first, since that's what a lot people will want to see. Make it clear to people with minimum math background, and keep it simple when possible.
Thanks for the hard work. I'm just trying to help make the information useful for everyone.
Hawkeyek ( talk) 05:51, 10 April 2008 (UTC)
please!
I understand why you would not wish to post a general form for the inversion of a 3x3 matrix, but maybe a step by step with a simple example? Nightwindzero 05:52, 22 February 2007
The statement that "It is crucial for the matrix H to be invertible for the receiver to be able to figure out the transmitted information." is just plain wrong. The matrix H is not always square, and there are several better ways of decoding the transmitted signal, instead of inverting the channel matrix. I have never edited a Wikipedia page before, so I will figure that out before I make some correcting changes. — Preceding unsigned comment added by 89.160.119.209 ( talk) 11:00, 13 December 2013 (UTC)
A square matrix is singular if and only if it's determinant is zero.
A family of vectors are linearly independent if and only if the determinant of their matrix is zero.
I really think there should be a mention of linear independence here after the reference to singular matrices since singularity is equivalent to linear dependence, which also ties in to the discussion later about eigenvectors and such. There's already a page on linear independence so just a quick link would be nice.
SomeHandyGuy ( talk) 00:33, 4 June 2014 (UTC)
I think those phrases would appear more in text, i.e. someone reading and clicking wants to know what is an "inverse matrix", or how do I invert a matrix. Would it make sense to rename and reword this article? :-
"The inverse of a matrix 'A' is a matrix 'B' such that ... AB=I ; a matrix for which such an inverse exists is called 'invertible'..." Fmadd ( talk) 08:38, 4 February 2017 (UTC)
Hello fellow Wikipedians,
I have just modified one external link on Invertible matrix. Please take a moment to review my edit. If you have any questions, or need the bot to ignore the links, or the page altogether, please visit this simple FaQ for additional information. I made the following changes:
When you have finished reviewing my changes, you may follow the instructions on the template below to fix any issues with the URLs.
This message was posted before February 2018.
After February 2018, "External links modified" talk page sections are no longer generated or monitored by InternetArchiveBot. No special action is required regarding these talk page notices, other than
regular verification using the archive tool instructions below. Editors
have permission to delete these "External links modified" talk page sections if they want to de-clutter talk pages, but see the
RfC before doing mass systematic removals. This message is updated dynamically through the template {{
source check}}
(last update: 5 June 2024).
Cheers.— InternetArchiveBot ( Report bug) 23:35, 15 November 2017 (UTC)
Somehow the formula for the inverse of a general 2x2 matrix is not showing correctly. The latex has a minus before the c but the output does not. I can't seem to fix it.— Preceding unsigned comment added by 92.194.124.84 ( talk) 15:18, 14 January 2021 (UTC)
I will reorder the theorems to show audiences that they can be explained by each others first. In addition, the formulas are hard to most audiences for understanding, so I will add some explanations on these formulas. Also, Invertible Matrix can be used in many concrete ways in real life but the application part only talks about few of it. In sub-title least square solutions, the invertible matrix is always used for data analyzing for predicting future data, and people always used it to create model of the relationship between the variables and output. For example, to analyze the price of house, the variables should be area, layout, swimming pool, and place and the output should be price. So, I will add more content on application part.
The redirect
Nonsingular 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 April 25 § Nonsingular until a consensus is reached.
1234qwer
1234qwer
4
23:04, 25 April 2023 (UTC)