MATHEMATICS 114: 
LINEAR ALGEBRA
Course Policy and Syllabus
Grades Inquiry (updated 22 May 2007)
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Prepared by: Jose Maria L. Escaner IV, Ph.D.

 
Lecture 1:   Review of Linear Systems
 
Lecture 2:   Matrices and its Operations
 
Lecture 3:   Properties of Matrix Operations
 
Lecture 4:   Matrix Representation of Linear Systems
 
Lecture 5:   The Reduced Row Echelon Form of a Matrix
 
Lecture 6:   Gauss-Jordan Reduction Method for Solving Linear Systems
 
Lecture 7:   Rank of a Matrix
 
Lecture 8:   The Inverse of a Matrix
 
Questions in the First Exam

 
Lecture 9:   Determinants
 
Lecture10:  Cofactor Expansion and Cramer's Rule
 
Lecture11:  Vector Spaces
 
Lecture12:  Span and Linear Independence
 
Lecture13:  Basis and Dimension
 
Lecture14:  Orthonormal Bases and Orthogonal Compliments
 
Questions in the Second Exam

 
Lecture15:  Linear Transformation
 
Lecture16:  Matrix of a Linear Transformation
 
Lecture17:  Eigenvalues and Eigenspaces
 
Lecture18:  Diagonalization of a Matrix
 
Lecture19:  Orthogonally Diagonalizable Matrices of Symmetric Matrices
 
Questions in the Third Exam

 
Questions in the Problem Set
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