Basic Linear Algebra
Extra Information

MAKE-UP EXAM

Exam Date: June 6, Tuesday at 12:30

 

 

 

 

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A C T I V I T I E S

Semester: 2016-2017 Summer 

Instructor: Prof. Dr. Kenan Taş

Lecture Hours:  Monday 11:40-13:10

                           Tuesday 11:40-13:10

                             Wednesday 11:40-13:10

Catalogue Description: Systems of linear equations. Matrices. Algebraic properties of matrix operations. Special types of matrices. Echelon form of a matrix. Solving linear systems by Gauss-Jordan reduction. Finding the inverse of a matrix by row reduction. Equivalent matrices. Determinants. Properties of determinants. Cofactor expansion. Inverse of a matrix (via its determinant). Other applications of determinants (Cramers rule). Vectors in the plane and in 3-space. Vector spaces. Subspaces. Span and linear independence. Basis and dimension. Row space. Null space.  Nullity and rank of a matrix. Homogeneos systems. Change of basis. Transition matrices. Orthogonalization. Linear transformations.  Kernel and range of a linear transformation.

Textbook:  Elementary Linear Algebra with Applications, 9th ed., B. Kolman and D. R. Hill,Pearson, 2008.

Reference Book: Elementary Linear Algebra with Supplemental Applications, International Student Version, 10th ed., H. Anton and C. Rorres, Wiley, 2010.
 

Evaluation Criteria: Two midterm examinations (30% each), one final examination (40%)

 

The Final  Exam will be held on Tuesday 22/08/2017 in HA04 at 15:00. 

Topics covered are: Solving systems by row reduction, Inner product spaces, orthogonal and orthonormal basis, Gram-Schmidt orthogonalization process, Linear transformation: kernel and range, matrix of a linear transformation.