Module Handbook
Module Name: 
Elementary Linear
Algebra 
Module Level: 
Bachelor 
Abbreviation,
if applicable: 
MAL201 
Subheading, if applicable: 
 
Courses included in
the module, if applicable: 
 
Semester/term: 
2th / Two Year 
Module coordinator(s): 
Dra. Utami Dyah Purwati, M.Si., 
Lecturer(s): 
Dra. Utami Dyah Purwati, M.Si., 
Language: 
Bahasa Indonesia 
Classification within the curriculum 
Compulsory Course / 
Teaching format / class hours per week during semester: 
 2 hours lectures (50 min /
hour)  1 hours lectures (50 min /
hour) 
Workload: 
3 hours lectures, 3 hour structural activities, 3
hours individual study, 13 week /semester, and total
117 hours /semester 3.9 ECTS 
Credit Points: 
3 
Requirements: 
 
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 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 R^{2} and R^{ 3}^{ } ^{ }10. Finding the
basis of orthogonal and orthonormal 
Content: 
The meaning of linear
equations system, SPL, homogen and non homogen, the settlement of SPL using
Gauss and GaussJordan 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 R^{2} and R^{3} 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, GramSchmidt 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 
Literature: 
1. Anton, Howard, 1981, Elementary Linear
Algebra, Third edition, 2. Anton, Howard & Rorres, Chris, 2004, Aljabar Linear
Elementer Versi 3. Leon, Steven J.,
2001, Aljabar Linear dan Aplikasinya, Edisi kelima, 4. Bahan
Ajar Aljabar Linear Elementer, Utami Dyah Purwati dan Nenik Estuningsih, FST
Unair, Surabaya 
Notes: 
