MAL202 – Matrix Algebra

Module designation

Matrix Algebra (MAL202)

Semester(s) in which the module is taught

3^rd

Person responsible for the module

Dr. Nenik Estuningsih, M.Si.

Language

Indonesian

Relation to curriculum

Compulsory / elective / specialisation

Teaching methods

Lecture and lesson.

Workload (incl. contact hours, self-study hours)

2×170 minutes (2×50 minutes lecture and lesson, 2×60 minutes structural activities, 2×60 minutes self-study) per week for 16 weeks

Credit points

2 CP (3,2 ECTS)

Required and recommended prerequisites for joining the module

Elementary Linear Algebra (MAL201)

Module objectives/intended learning outcomes

General Competencies:

     Able to connect concepts in matrix algebra correctly.

Specific Competencies: Students are able to

1.      Explain the properties of matrices.

2.      Explain the properties of partition matrices.

3.      Explain the properties of positive (semi) definite matrices

4.      Explain matrix decomposition

5.      Determine matrix functions, matrix exponentials, and matrix polynomial representations

Content

Matrices and properties of matrix operations (matrix algebra operations, elementary row operations), types of matrices. Properties of matrix rank, matrix inverse, and matrix determinant. Partition matrix (partition matrix inverse, partition matrix determinant, and partition matrix rank). Positive (semi) definite matrices, Eigenvalues, eigenvectors, and factorization (diagonalization, Jordan form), Cholesky decomposition, singular value decomposition. Matrix functions, matrix exponentials, matrix polynomial representation.

Examination forms

Essay

Study and examination requirements

Students are considered to pass if they at least have got a final score 40 (D).

Final score is calculated as follows: 10% softskill + 20% assignment + 20% Quiz + 25% midterm + 25% final exam.

Final index is defined as follow:

Reading list

1. Abadir, Karim M. and Magnus, Jan R, 2005, Matrix Algebra,Cambridge University Press, Cambridge
2. Anton, Howard, 2000, Dasar-Dasar Aljabar Linear Jilid 2, Edisi 7, Interaksara, Batam