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Questions tagged [linear-algebra]

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For questions related to linear mappings, matrices, basis, determinants, eigenvalues and other topics commonly done in a linear algebra course.

103 questions
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4 votes
0 answers
77 views

I am teaching an online Linear Algebra Course, which is based on the OERI Linear Algebra course that can be found in MyOpenMath, if anyone is interested. The course covers all the basics up to ...
Kyriakos Kypriotakis's user avatar
  • 171
7 votes
4 answers
1k views

So I am teaching a linear algebra class and in order to illustrate that a vector space can be anything that satisfies a certain set of properties I have been using the silly example of a vector space ...
DIG's user avatar
  • 187
5 votes
4 answers
2k views

I'm a self-taught learner getting into graphics programming, and I've started learning some applied math related to it. But at some point, I felt like I was just using formulas without really ...
aslam louati's user avatar
  • 51
5 votes
2 answers
984 views

Sheldon Axler in his book Linear Algebra Done Right introduces norm $\|x\|=\langle x,x \rangle^{1/2} $ on a linear space $V_\mathbb{F}$. To me, a more natural approach is to define norm independent of ...
Firdous Ahmad Mala's user avatar
  • 501
6 votes
1 answer
1k views

So I wanted to review my intro to Linear Algebra course in prep for next semester classes (starts Aug 2025/Fall since taking 2 gap semesters starting Dec 12th for personal reasons) like "a second ...
Bob Marley's user avatar
  • 193
9 votes
3 answers
1k views

I'm looking for a linear algebra topic to assign to a group of undergraduate engineering students who are not majoring in mathematics. The assignment should meet the following criteria: The topic ...
Hana's user avatar
  • 171
3 votes
3 answers
413 views

I am trying to implement some version of a Project or Problem-Based Learning methodology (which I will just refer to as "PBL"[1]) in Linear Algebra and I am not sure how classes are ...
Luiz Cordeiro's user avatar
  • 779
4 votes
4 answers
2k views

I am writing a Linear Algebra textbook that is supposed to have several Earth Science applications (Geophysics, Atmospheric Science) given that I come from an Earth/Atmospheric Science background. I ...
Benjamin_Gal's user avatar
  • 151
7 votes
2 answers
538 views

It's easy to come up with examples of interesting diagonalizable matrices $A\in M_n(\mathbb{C})$ with a prescribed set of eigenvalues $\lambda_1,\dots,\lambda_n$ because you can start with your ...
Jeremy Brazas's user avatar
  • 221
15 votes
7 answers
8k views

I am currently teaching a university-level linear algebra course and recently encountered an issue that made me question the assumed foundational math skills for students in this course. The issue ...
LeafGlowPath's user avatar
  • 822
5 votes
4 answers
629 views

I am using the textbook Linear Algebra done right by Sheldon Axler (fourth edition) to teach an undergraduate linear algebra course. Please find here a link to the book here. Now Axler does not ...
user534666's user avatar
  • 151
-4 votes
1 answer
123 views

I have a function $$ f(x) = {1 \over 1 + e^{-k(x-0.5)}} $$ that plots a logistic curve that is symmetric around the point $0.5 / 0.5$. $k$ defines the steepness of the curve. I would now like to add ...
Fred's user avatar
  • 95
0 votes
1 answer
409 views

I remember watching a youtube playlist on a video about equation of a plane and about vectors in 3D. The video was fully animated in 3D and had good sound effects too. I feel like it had a clock ...
Broy Tennison's user avatar
  • 17
6 votes
3 answers
513 views

Throughout this year, I have been in charge of a linear algebra course aimed at engineering school. In this course, I asked my students to work on a final project involving finding a winning strategy ...
Gabriel's user avatar
  • 61
24 votes
14 answers
17k views

I have helped to TA and taught several courses with mixtures of advanced undergraduate and early graduate students in engineering/STEM. These courses are the classics: signal processing, control, ...
Fraïssé's user avatar
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