Linear Algebra
This is an overview of the concepts I have learned during my linear algebra courses.
Courses
 Linear I at Marianopolis College notes here (Fall 2020)
 Linear II at Marianopolis College notes here (Winter 2021)
 Link to course notes (MATH115) here (Fall 2021, 1A SE)
Concepts
 Complex Number
 Vector
 Line
 Plane
 Projection
 Linear Combination, Sets and Spans
 Linear Independence
 Subspace
 Matrix
 Markov Chain
 Linear Transformation
 Eigenvalues and Eigenvectors
 Vector Space
Final Exam Gaps in Knowledge
Whenever you find the basis, at the end, you have to say that the nonzero vectors in the spanning set are linearly independent.
 Main focus is lecture 20 onwards
 Complex Nth Roots p.20
 SystemRank Theorem, how many solutions (Lecture 21)
 Applications of Linear Algebra (Lecture 23)
 Fundamental Subspaces (Null, Row, Col) Lecture 27
 Find the row space etc.
Related and Applications
 Make a video on this
 #todo

 Linear Models
 Balancing Chemical Equations
 Network Flow
 Electrical Networks