Module Handbook


Module Name:

Elementary Linear Algebra

Module Level:


Abbreviation, if applicable:


Sub-heading, if applicable:


Courses   included   in   the

module, if applicable:



2th / Two 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)

- 1 hours lectures (50 min / hour)



3 hours lectures, 3 hour structural activities, 3 hours individual study,

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

Credit Points:




Learning goals/competencies:

General Competence (Knowledge)

capable of resolving the linear equation system in various methods

  Specific Competence:

1. Determine the settlement of linear equations system with Gauss
    and Jordan Elimination

2. Explainition of matrix algebra Operation

3. Finding the inverse of a matrix and use it to complete SPL

4.Calculate the determinant value of a matrix

5.Determine the inverse of a matrix with matrix adjoint

6.Resolving SPL with Cramer method

  7. Determine the value and eigen vectors of a matrix

  8. Determine the diagonalization of a matrix

  9. Determine the basis of vectors R2 and R 3

 10. Finding the basis of orthogonal and orthonormal


The meaning of linear equations system, SPL, homogen and non homogen, the settlement of SPL using Gauss and Gauss-Jordan methods, matrix (matrix algebra operation, types of matrices, elementer matrix, resolving SPL with inverse matrix method), determinant (determinant characters, finding the determinant value of permutation, with elementery row operations, with the character and the cofactor expansion), invers matrix with adjoint, resolving  SPL with Cramer method, eigen value, eigen vector and the chacarteristics, diagonalization, Eucliden R2 and R3 spaces, linear combinations, spanning sets, linear independence, space row and space column, rank matrix, dot product, cross product, orthogonal projection, basis of orthogonal, basis of orthonormal, Gram-Schmidt process


Soft skill Attribute

Active, honest, discipline

Study/exam achievements:

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

Final score (NA) is calculated as follow: 10% Soft Skill +15% assignment + 20% Quiz + 25% 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.  Anton, Howard, 1981, Elementary Linear Algebra, Third edition,    
John Wiley and Sons Inc.

2. Anton, Howard & Rorres, Chris, 2004, Aljabar Linear Elementer Versi  
Aplikasi, jilid 1, Edisi Kedelapan,  Erlangga, Jakarta.

3. Leon, Steven J., 2001, Aljabar Linear dan Aplikasinya, Edisi kelima,
Erlangga, Jakarta.

4. Bahan Ajar Aljabar Linear Elementer, Utami Dyah Purwati dan Nenik Estuningsih, FST Unair, Surabaya