College Linear Algebra Study Group
SAT Score Range
•
8 sessions
•
JD
AC
JN
+7
This series was cancelled by the tutor on September 17, 2025. We're very sorry–you can explore more Calculus series here. All 1:1 and group chats related to this series are disabled 7 days after the last session.
About
Hi Everyone!
Siddharth and Daniel here!
This 10 session long bootcamp aims to teach you college-level linear algebra, following MIT's Open Course Ware's Syllabus. Here's the link: https://ocw.mit.edu/courses/18-06-linear-algebra-spring-2010/.
This bootcamp won't be too intensive, but at the same time will not be too laid back. We expect to meet twice every week, taking 90 minutes per session. Tentatively, we've scheduled to meet every Saturday and Sunday at 10:00 AM EDT. We will be sure to adjust the timings as per demand!
Linear Algebra is essential in reshaping your perspective of the world. You begin to view everything in a form of a vector, matrices, and linear transformations. Linear Algebra plays a fundamental role in understanding key concepts in machine learning and quantum mechanics. Be excited not only to learn more about matrices and vectors, but also about the different real world applications that these concepts can be seen in such as a neat derivation Fourier series - the pinnacle of signal processing - using nothing more than a dash of linear algebra and an elementary fact from a middle school geometry textbook! Enroll now to find out what that is!
Algebra 2 and pre-calculus are pre-requisites. While it is not necessary, it would be great if you have exposure to the basic ideas of calculus!
Expected Results:
1. Understanding and applying matrix computations and ideas, such as:
2. Solve Ax = b for square systems by elimination. (Including pivots, multipliers, back substitution and more.)
3. Abstract vector spaces, basis and dimension.
4. Orthogonalization by Gram-Schmidt, with the best approximation theorem - a crazy powerful result that allows one to come up with way better polynomial approximations to trig functions than a calculus based Taylor series approach.
5. Eigenvalues and eigenvectors.
Tutored by
Sessions
✋ ATTENDANCE POLICY
Please do not miss more that two sessions in a row. Always be sure to notify either one of us in advance if you're going to miss a session!
SESSION 1
23
Aug
SESSION 1
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Sat 2:00 PM - 3:30 PM UTCAug 23, 2:00 PM - 3:30 PM UTC
We'll get started with the notion of a matrix, and its use in solving systems of linear equations. Next, we'll meet the matrix inverse, an essential tool to tackling these systems of equations, as well as the Gauss-Jordan elimination method, including terms like pivots and row-echelon form.
Lastly, we'll introduction the notion of a vector space - the home of all the vectors!
SESSION 2
24
Aug
SESSION 2
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Sun 2:00 PM - 3:30 PM UTCAug 24, 2:00 PM - 3:30 PM UTC
We'll continue with our study of abstract vector spaces, unpacking the notion using concrete examples you're likely to be familiar with. We talk about concepts such as span, basis and dimension, allowing us to view matrices and matrix multiplication in a different way altogether.
SESSION 3
30
Aug
SESSION 3
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Sat 2:00 PM - 3:30 PM UTCAug 30, 2:00 PM - 3:30 PM UTC
We will complete our explanation of the Gauss-Jordan technique, which uses a systematic form of elimination to solve large systems of equations. Then, we will look at linear transformations, to understand another purpose for matrices, which is going to make concepts like matrix-vector and matrix-matrix multiplication intuitive, and almost obvious!
SESSION 4
31
Aug
SESSION 4
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Sun 2:00 PM - 3:30 PM UTCAug 31, 2:00 PM - 3:30 PM UTC
We will complete our explanation of the Gauss-Jordan technique, which uses a systematic form of elimination to solve large systems of equations. Then, we will look at linear transformations, to understand another purpose for matrices, which is going to make concepts like matrix-vector and matrix-matrix multiplication intuitive, and almost obvious!
SESSION 5
6
Sep
SESSION 5
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Sat 2:00 PM - 3:30 PM UTCSep 6, 2:00 PM - 3:30 PM UTC
TBD
SESSION 6
7
Sep
SESSION 6
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Sun 1:15 PM - 2:45 PM UTCSep 7, 1:15 PM - 2:45 PM UTC
TBD
SESSION 7
13
Sep
SESSION 7
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Sat 2:00 PM - 3:30 PM UTCSep 13, 2:00 PM - 3:30 PM UTC
TBD
SESSION 8
14
Sep
SESSION 8
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Sun 2:00 PM - 3:30 PM UTCSep 14, 2:00 PM - 3:30 PM UTC
TBD