I know that I already found this, but I am not sure where, so I ask it here.  How can I individually specify the number and alignment of a bracket matrix using bmatrix?  \documentclass{article}  \usepackage{mathtools}  \begin{document}  \begin{displaymath} A = \left[% \begin{array}[@{}lcr@{}] a &amp; b &amp; c \\ d &amp; e &amp; f \\ \end{array} \right] \end{displaymath}  % Achieve the same as above  \begin{displaymath} \begin{bmatrix}[lcr] a &amp; b &amp; c \\ d &amp; e &amp; f \\ \end{bmatrix} \end{displaymath}  \end{document}
When studying systems of linear equations, it's nice to remind people that the last column of the coefficient matrix holds the constants.  This is often done in books by putting a vertical line between the last column and the next to last column.  What is a good way to do this in LaTex?
Transvection matrices generate $ \operatorname{SL}_n(\mathbb{R}) $ Are humans the only animal that requires "clean water"? Use Yaml for MongoMapper Config Show that AB is singular if A is singular Actually I need to show that $\det(AB) = \det(A)\det(B)$ if $A$ is a singular matrix.  The determinant of $A$ is $0$ if $A$ is singular, so $\det(AB)$ has to be $0$ as well, but I have problems showing that $AB$ is singular if $A$ is singular. How can I show that? biblatex: per-entry language switching According to biblatex manual (p.24), the hyphenation field in a bib-entry switches language on per-entry basis:     hyphenation field    The language of the bibliography entry. The identifier must be a language name   known to the babel package. This information may be used to switch hyphenation   patterns and localize strings in the bibliography.   This functionality seemed to not work. I just used an example of bib base that comes with biblatex documentation to print the entire bibliography.   \documentclass[a4paper]{article} \usepackage[T1]{fontenc} \usepackage[german,american]{babel} \usepackage{csquotes} \usepackage[style=numeric,backend=biber]{biblatex} \addbibresource{biblatex-examples.bib} \begin{document} \nocite{*} \printbibliography \end{document}   The bibliography contains few entries in German. However in the printed list of references they are formatted with english strings.     [8] Averroes. Drei Abhandlungen über die Conjunction des separaten Intellects   mit dem Menschen. Von Averroes (Vater und Sohn), aus dem   Arabischen übersetzt von Samuel Ibn Tibbon. Ed. and trans. by J. Hercz.   Berlin: S. Hermann, 1869.   Per-entry language switching is provided by the  bundle of bst style for BibTeX. Looking through biblatex internal code, I've got an impression that biblatex needs major re-implementation in order to provide similar functionality. Or am I wrong? fontawesome icons are getting too big using XeLaTeX The following example must be compiled with XeLaTeX to reproduce the issue.  % arara: xelatex \documentclass{article} \usepackage{fontawesome} \begin{document} Text Text \faMobilePhone\ Text Text \end{document}   Normally I am using TeXworks to compile and view the output. With the internal viewer I am getting the desired result. The following image demonstrates it:    However if I open the pdf with Preview (viewer of Mac) the scaling of the icon fails.     If I open the pdf file with Adobe Acrobat Reader the icon is still scaled correctly. If I print the page my printer is also not able to scale the icons correctly.   If I use LuaLaTeX everything seems to work correctly.   Can you reproduce the issue and do you know a solution? Are there any differences between Skyrim & Skyrim: Special Edition? An unfair three-sided die. An unfair three-sided die. Side $1$ will be rolled with probability $p_1$ , Side $2$ with probability $p_ 2$ and Side $3$ with probability $p_ 3$ . Find a formula for the probability that the $8^{th}$ $3$ will be rolled on the $10^{th}$ roll.  Attempt:  First 9 rolls there are 7 three's.  $$[\binom{9}{7}(p_3)^7(p_1+p_2)^2]\cdot p_3$$ $$=[84\cdot(p_3)^7(p_1+p_2)^2]\cdot p_3$$  any thoughts of this solution? How do I calculate the distance between two points specified by latitude and longitude?  For clarification, I'd like the distance in kilometers; the points use the WGS84 system and I'd like to understand the relative accuracies of the approaches available. I have two areas of my house which are cantilevered. One is a bay area which extends about 2'. The other is the bottom of a fireplace box (gas fireplace). I have placed two layers of R-13 (I think) insulation in this area, but inside the house it's like a heat sink where all of the heat is sucked out ... very cold to the touch in the winter time. Obviously there must be a better way to insulate this area.  My question is, what is the best way to insulate a cantilevered area so as to allow the inside area of the house to not be so cold in the winter time? I am flying from Doha to Philadelphia by Qatar Airway. While in Philadelphia, I need to change flight to US Airway. But I only have 1 hour and a half before my next flight to Birmingham. Do I have enough time to check out and check in my baggage?  1.Kuala Lumpur (KUL)  Tue, 21 Jul 2015 20:50  2.Doha (DOH)  Tue, 21 Jul 2015 23:20  3.Doha (DOH)  Wed, 22 Jul 2015 01:10   Philadelphia (PHL)  Wed, 22 Jul 2015 07:45   5.Philadelphia (PHL)  Wed, 22 Jul 2015 09:40 Terminal F  6.Birmingham (BHM)  Wed, 22 Jul 2015 11:00 When to throw an exception? Short sci-fi story about Earth blockaded by other human colonies Like the subject: short sci-fi story about Earth blockaded by other human colonies.  The best humans have colonized some stellar systems. But they begin to treat humans of earth like inferiors. A war began, colonies won the war and blockaded the earth, but despite this the earth won. Who is the author? I have a windows forms app with a textbox control that I want to only accept integer values. In the past I've done this kind of validation by overloading the KeyPress event and just removing characters which didn't fit the specification. I've looked at the MaskedTextBox control but I'd like a more general solution that could work with perhaps a regular expression, or depend on the values of other controls.  Ideally this would behave such that pressing a non numeric character would either produce no result or immediately provide the user with feedback about the invalid character. Given complex $|z_{1}| = 2\;\;,|z_{2}| = 3\;\;, |z_{3}| = 4\;\;$ : when and what is $\max$ of $|z_{1}-z_{2}|^2+|z_{2}-z_{3}|^2+|z_{3}-z_{1}|^2$ Determining the characteristic of a field If $\mathbb{F}=\{ 0,1,x,y\}$ is a field with four elements, why is the characteristic 2?   In a field with four elements, the characteristic is 2 or 3(since it has to be a prime). Is there any way to determine precisely the characteristic of this field, and in general any finite field? Can I run a second wordpress site as a subdomain without using multisite? Where to find cross section data for $e^{-}$ + $p$ $\longrightarrow$ $p$ + $e^{-}$? Where to find cross section data for $e^{-}$ + $p$ $\longrightarrow$  $p$ + $e^{-}$ ?  does not include it. Chat is an offshoot of the main site, and using it is  during their time here.  Chat is our place for:        Real-time collaboration   Meeting fellow members of the community   Less structured, casual (but still roughly on-topic) conversation      Our chat system exists to serve the main site; users of each site can gather and commune with each other.  When in chat, we expect all users to abide by our  policy, which means that we expect community members to treat each other with respect.    While it is a place where the community can go to interact on a more casual level, chat still needs to be moderated by the community and there are tools in place to help with the moderation. This raises a few questions, that are addressed here: How can I obfuscate (protect) JavaScript? I want to make a JavaScript application that's not open source, and thus I wish to learn how to can obfuscate my JS code? Is this possible?