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Enrichment • Series

Intro to Linear Algebra and Vector Geometry

Kindness C

Series Details

Sessions

Public Discussion

This series was cancelled by the tutor on September 11, 2023. We're very sorry–you can explore more Enrichment series here. All 1:1 and group chats related to this series are disabled 7 days after the last session.

Series Details

About

We'll cover the fundamental topics of linear algebra in this series. The link for our textbook is here (under a Creative Commons license): https://lyryx.com/linear-algebra-applications/. This supplementary text may also be useful (also available for free): https://textbooks.math.gatech.edu/ila/. Here's an overview of the content of the course (copied from the Table of Contents of our primary textbook). No previous calculus knowledge necessary. - Systems of linear equations - Matrix algebra - Determinants, eigenvalues, and diagonalization - Vector geometry - Vector spaces (both R^n and abstract vector spaces) - Linear transformations - Change of basis

Tutor Qualifications

I self-studied this course over the summer and passed my university's placement test with a very high grade.

✋ ATTENDANCE POLICY

No compulsory attendance policy, but try not to miss more than two sessions (especially in a row). If you do, make sure to catch up by reading the textbooks and our notes.

Dates

August 24 - September 6

Learners

9 / 20

Total Sessions

7

About the Tutor

Hi! I'm Kindness (aka Enci). As of 2024-25, I'm a junior year university student majoring in pure math! I graduated high school as part of the Class of 2023, and thanks to APs I skipped the freshman year of university. On Schoolhouse, I especially like to tutor in Enrichment as a study space host and advanced math tutor. I used to be quite active in tutoring the SAT, and I hope to return to doing that soon! In my free time (which I don't have much, lol), you can find me writing poems, playing the piano or violin, and scrapbooking.

View Kindness C's Profile

Upcoming Sessions

0

Past Sessions

7
24
Aug

Session 1

Orientation

We'll introduce ourselves and have a look of the course in general. We'll also get started with gaussian elimination and parametrizing our solutions when applicable.
28
Aug

Session 2

Other Topics

We'll look at homogeneous systems and trivial/nontrivial solutions to them. We will also work on some practice problems or possibly start the information of the next session early. (I originally planned to go over nonhomogeneous systems, but we'll go over them in a later session.)
29
Aug

Session 3

Other Topics

We'll go on to learn addition, scalar multiplication, transposition, and multiplication for matrices, as well as some geometric interpretations. (Part 1)
1
Sep

Session 4

Other Topics

We'll go on to learn addition, scalar multiplication, transposition, multiplication, and block partition for matrices. (Part 1)
2
Sep

Session 5

Other Topics

We'll talk about linear transformations from from R^n to R^m and find the matrices of such linear transformations. We'll also talk about its geometric interpretations in R^2.
3
Sep

Session 6

Other Topics

We'll define the inverse of a square matrix and discuss some major theorems related to invertibility. We will also define the determinant of a square matrix for a 2×2 matrix. (Part 1)
6
Sep

Session 7

Other Topics

We'll define the inverse of a square matrix and discuss some major theorems related to invertibility. We will also define the determinant of a square matrix for a 2×2 matrix. (Part 1)

Public Discussion

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