Module Handbook


Module Name:

Matrix Algebra

Module Level:


Abbreviation, if applicable:


Sub-heading, if applicable:


Courses   included   in   the

module, if applicable:



3th / Second Year

Module coordinator(s):

Dra. Utami Dyah Purwati, M.Si.,


Dra. Utami Dyah Purwati, M.Si.


Bahasa Indonesia

Classification   within   the


Compulsory Course / Elective Studies

Teaching format / class

hours per week during semester:

2 hours lectures (50 min / hour)


2 hours lectures, 2 hour structural activities, 2 hours individual study,

13 week per semester, and total 117 hours per semester   3.9 ECTS

Credit Points:




Learning goals/competencies:

General Competence (Knowledge)

 After following matrix algebra class, students are expected to use the elementary operation to examine the character of the matrix


Specific Competence:

1. Describe the basic character of the matrix.

2. Determine the type of a matrix.

3. Determine the matrix norms that have been given.

4. Explain the character of positive definite matrix.

5. Explain the character of partition matrix.

6. Determine the Jordan’s form of a given matrix.

7. Determine the form of exponential matrix that have been given.

8. Determine the singular value decomposition of a given matrix.


Matrx notation, algebra operation, elementary row operation, character of matrix. Determinant, rank, inverse, eigen values and eigen vectors and their character on the types of matrix. Orthogonal matrix and positive definite matrix. Patition matrix and their character. Polynomial matrix, differentiation and integration matrix. Jordan form and singular value decomposition.

Soft skill Attribute

Active, honesty and discipline

Study/exam achievements:

Students are considered to be competent and pass if at least get 40 of maximum mark of the exams (UTS and UAS), structured activity (group discussion).


Final score (NA) is calculated as follow: 15% assignment + 25%

Quiz + 30% UTS + 30% UAS



Final index is defined as follow:

A      :    75 100

AB    :    70 - 74.99

B      :    65 - 69.99

BC    :    60 - 64.99

C      :    55 - 59.99

D      :    40 - 54.99

E       :      0 - 39.99

Forms of Media:

Slides and LCD projectors, whiteboards

Learning Methods

Lecture, assessments and group discussion


 1. Abadir, Karim M. dan Magnus, Jan R, 2005, Matrix   
Algebra,Cambridge University Press, Cambridge

 2. Anton, Howard, 2000, Dasar-Dasar Aljabar Linear Jilid 2, Edisi 7,
Interaksara, Batam

[3] Jacob, Bill, 1990, Linear Algebra, W.H.Freeman and Co, New York