Linear Algebra tutorials written in pure Julia. This repository contains tutorials that go alongside the textbook Introduction to Linear Algebra by Gilbert Strang.
I received some feedback from the Julia Community. Let's incorporate that here! :smile:
Overview of Feedback
Tutorial 1-1
[x] Under the section for "What is a Vector?" you have b denoting an element in A, as well as a vector, as well as an element in that vector. I suggest using a notation more aligned with the i, j element of A being a_i, j , and a vector b having elements b_1, ..., b_n.
[x] In the "How Does Linear Combination Operate?" section you define \alpha and \beta as scalars in the field, but then use c and d.
[x] In "Reading Vector in the Cartesian Coordinate Plane" it might be beneficial to talk about span before saying that an arbitrary combination of vectors "fills" a space.
[x] It feels a bit weird to define a vector as a column of a matrix. A matrix is a linear operator on a vector space, thus you would actually need to know what a vector is before knowing what a matrix is.
Conclusion
Thanks @cameronperot for the valuable feedback you provided! I will be working in the coming days on getting it incorporated into the tutorials.
Introduction
I received some feedback from the Julia Community. Let's incorporate that here! :smile:
Overview of Feedback
Tutorial 1-1
[x] Under the section for "What is a Vector?" you have
bdenoting an element inA, as well as a vector, as well as an element in that vector. I suggest using a notation more aligned with thei, jelement ofAbeinga_i, j, andavectorbhaving elementsb_1, ..., b_n.[x] In the "How Does Linear Combination Operate?" section you define
\alphaand\betaas scalars in the field, but then usecandd.[x] In "Reading Vector in the Cartesian Coordinate Plane" it might be beneficial to talk about span before saying that an arbitrary combination of vectors "fills" a space.
[x] It feels a bit weird to define a vector as a column of a matrix. A matrix is a linear operator on a vector space, thus you would actually need to know what a vector is before knowing what a matrix is.
Conclusion
Thanks @cameronperot for the valuable feedback you provided! I will be working in the coming days on getting it incorporated into the tutorials.