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Linear Algebra

SAT Score Range

•

9 sessions

•

+17

This series was cancelled on May 21, 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

I am back to host another wonderful series: LINEAR ALGEBRA! I hope you all can join!

This series will cover the content of a semester of college Linear Algebra and is traditionally taken after Calculus

PREREQ:
Pre-Calculus (Surprising, right?) . . . but I STRONGLY recommend a successful completion of AP® Calculus BC

why the Prereq?
You don't use Calculus in this course, but understanding vectors and matrices well will get you ahead. The only part in AP® Calculus BC useful for this is the vectors unit, so please review that on your own because we will do a quick recap of the basics of vectors and matrices when this series begins!

STRUCTURE:
1. Lecture (60-90 min)
2. Optional Homework
*repeat above until unit is complete*
3. Problem Set for the Unit
4. Unit TEST


Here is the syllabus for the series:
1. Matrices and Systems of Equations
2. Matrix Operations and Matrix Inverses
3. Determinants
4. Norm, Inner Product, and Vector Spaces
5. Basis, Dimension, and Subspaces
6. Linear Transformations
7. Eigenvalues and Eigenvectors

Tutored by

Rodrigo N 🇺🇸

Certified in 9 topics

View Profile

I am a high school student with a passion for STEM. I enjoy learning from my mistakes and hope to encourage that same idea with students from around the globe.

Schedule

✋ ATTENDANCE POLICY

USE THE TUTOR CHAT to message me if you won't be here BEFORE the session starts (this counts as an excused absence!)

IF YOU EXCEED 3 CONSECUTIVE UNEXCUSED ABSENCES, you will, unfortunately, be removed from the series

SESSION 1

7

Feb

SESSION 1

Other Topics

Other Topics

Fri 9:30 PM - 10:30 PM UTCFeb 7, 9:30 PM - 10:30 PM UTC

Matrices and Systems of Equations DAY 1
1. Use correct matrix terminology to describes various types and features of matrices (triangular, symmetric, row echelon form, et.al.)
2. Use Gauss-Jordan elimination to transform a matrix into reduced row echelon form
SESSION 2

11

Feb

SESSION 2

Other Topics

Other Topics

Tue 9:30 PM - 10:30 PM UTCFeb 11, 9:30 PM - 10:30 PM UTC

Matrices and Systems of Equations DAY 2
3. Determine conditions such that a given system of equations will have no solution, exactly one solution, or infinitely many solutions
4. Write the solution set for a system of linear equations by interpreting the reduced row echelon form of the augmented matrix, including expressing infinitely many solutions in terms of free parameters
SESSION 3

14

Feb

SESSION 3

Other Topics

Other Topics

Fri 9:30 PM - 10:30 PM UTCFeb 14, 9:30 PM - 10:30 PM UTC


Matrices and Systems of Equations DAY 2-3
3. Determine conditions such that a given system of equations will have no solution, exactly one solution, or infinitely many solutions
4. Write the solution set for a system of linear equations by interpreting the reduced row echelon form of the augmented matrix, including expressing infinitely many solutions in terms of free parameters
5. Write and solve a system of equations modeling real-world situations such as electric circuits or traffic flow
SESSION 4

18

Feb

SESSION 4

Review

Review

Tue 9:30 PM - 10:15 PM UTCFeb 18, 9:30 PM - 10:15 PM UTC

This is intended as a Linear Algebra Review Session before our Assessment or in between topics
SESSION 5

17

May

SESSION 5

Other Topics

Other Topics

Sat 7:00 PM - 9:00 PM UTCMay 17, 7:00 PM - 9:00 PM UTC

1. Matrices and Systems of Equations
2. Matrix Operations and Matrix Inverses
SESSION 6

18

May

SESSION 6

Other Topics

Other Topics

Sun 7:00 PM - 9:00 PM UTCMay 18, 7:00 PM - 9:00 PM UTC

3. Determinants
4. Norm, Inner Product, and Vector Spaces
SESSION 7

19

May

SESSION 7

Other Topics

Other Topics

Mon 7:00 PM - 9:00 PM UTCMay 19, 7:00 PM - 9:00 PM UTC

5. Basis, Dimension, and Subspaces
6. Linear Transformations (PART 1)
SESSION 8

20

May

SESSION 8

Other Topics

Other Topics

Tue 7:00 PM - 9:00 PM UTCMay 20, 7:00 PM - 9:00 PM UTC

6. Linear Transformations (PART 2)
7. Eigenvalues and Eigenvectors
SESSION 9

21

May

SESSION 9

Other Topics

Other Topics

Wed 7:00 PM - 9:00 PM UTCMay 21, 7:00 PM - 9:00 PM UTC

If there is any material we didn't cover, it will be covered today.... ALSO:
OPEN TO EVERYONE!!! Let me know any concepts you don't fully understand

Public Discussion

Please log in to see discussion on this series.

Feb 7 - May 21

15 weeks

45 - 120 mins

/ session