Schoolhouse.world: peer tutoring, for free.
Schoolhouse.world: peer tutoring, for free.

Math

Algebra 2 Learning Labs
Pre-Calculus Learning Labs
Pre-Algebra
Algebra 1
Algebra 2
Geometry
Pre-Calculus
Calculus
Statistics

Science

Biology
Chemistry
Physics

More

SAT Bootcamp
College Admissions Workshops
SAT Prep
College Prep
Enrichment
Computer Science
Reading and Writing
History
Free SAT® Prep, as part of a research study.
SAT® Bootcamps
Free SAT® Prep, as part of a research study.
A global network of volunteers.
Explore Tutors
A global network of volunteers.
Get free help applying to college.
College Admissions Workshops
Get free help applying to college.
Why get tutored by other students?
Benefits of Peer Tutoring
Why get tutored by other students?
Prove your mastery and get ready to tutor.
About Certifications
Prove your mastery and get ready to tutor.
Learn, grow, and give back through tutoring.
Become a Tutor
Learn, grow, and give back through tutoring.
How we keep virtual tutoring safe.
Session Safety Measures
How we keep virtual tutoring safe.
Have questions? Search our FAQ.
Help Desk
Have questions? Search our FAQ.
Game nights, product updates, and more.
Community Events
Game nights, product updates, and more.
Stay motivated in virtual study rooms.
Study Spaces
Stay motivated in virtual study rooms.
Check out the community's impact.
Leaderboards
Check out the community's impact.
Testimonials from the Schoolhouse community.
Stories
Testimonials from the Schoolhouse community.
Keep up with our volunteer-run blog.
Blog
Keep up with our volunteer-run blog.
Intro to Linear Algebra and Vector Geometry

SAT Score Range

•

7 sessions

•

+6

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.

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

Tutored by

Kindness C 🇨🇦

Certified in 17 topics

View Profile

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.

Schedule

✋ 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.

SESSION 1

24

Aug

SESSION 1

Orientation

Orientation

Thu 12:30 AM - 1:30 AM UTCAug 24, 12:30 AM - 1:30 AM UTC

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.
SESSION 2

28

Aug

SESSION 2

Other Topics

Other Topics

Mon 12:00 AM - 1:00 AM UTCAug 28, 12:00 AM - 1:00 AM UTC

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.)
SESSION 3

29

Aug

SESSION 3

Other Topics

Other Topics

Tue 12:00 AM - 1:00 AM UTCAug 29, 12:00 AM - 1:00 AM UTC

We'll go on to learn addition, scalar multiplication, transposition, and multiplication for matrices, as well as some geometric interpretations. (Part 1)
SESSION 4

1

Sep

SESSION 4

Other Topics

Other Topics

Fri 12:00 AM - 1:00 AM UTCSep 1, 12:00 AM - 1:00 AM UTC

We'll go on to learn addition, scalar multiplication, transposition, multiplication, and block partition for matrices. (Part 1)
SESSION 5

2

Sep

SESSION 5

Other Topics

Other Topics

Sat 12:00 AM - 1:00 AM UTCSep 2, 12:00 AM - 1:00 AM UTC

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.
SESSION 6

3

Sep

SESSION 6

Other Topics

Other Topics

Sun 12:00 AM - 1:00 AM UTCSep 3, 12:00 AM - 1:00 AM UTC

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)
SESSION 7

6

Sep

SESSION 7

Other Topics

Other Topics

Wed 12:00 AM - 1:00 AM UTCSep 6, 12:00 AM - 1:00 AM UTC

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

Please log in to see discussion on this series.

Aug 24 - Sep 6

2 weeks

60 mins

/ session