

September 19
Chapter 1 
System of Linear Equations
Augmented Matrix
Row Operation
Row Echelon Form 
September 23 
Existence
Uniquenes
A Basic Linear Algebra Principle 
September 26 

September 28, Tutorial 1 
September 30
Chapter 2 
Vector and Matrix
Linear Transformation 
October 3 
Onto
Onetoone
Composition and Matrix Multiplication

October 7 
Inverse
Transpose
Partitioned Matrix 
October 10
Chapter 3 
Vector Space
Subspace
Linear Transformation 
October 12, Tutorial 2 
October 14 
Range and Column Space
Kernel and Null Space 
October 17 
Span
Linear Independence 
October 21 
Basis
Computation of Basis 
October 24 
Rank and Nullity
Change of Basis 
October 28, Tutorial 3, Midterm 
October 28 
Dual
Direct Sum 
October 31
Chapter 4 
Geometry of Determinant
Computation of Determinant 
November 4 
Properties of Determinant 
November 7 
Theory of Determinant
Proof of Properties 
November 9, Tutorial 4 
November 11
Chapter 5 
Eigenvalue and Eigenvector 
November 14 
Complex Diagonalization 
November 18 
Application
Properties 
November 21 
Eigenspace and Multiplicity 
November 23, Tutorial 5 
November 25
Chapter 6 
Dot Product 
November 28

Orthogonality 
December 2 
Orthogonal Projection 
December 5 
Orthogonalization 
December 7, Tutorial 6 