STATISTICS STUDY PROGRAM
Assignment SheetVersion/Revision 1/0 Page 1/2
1.Course Identity
Course Name(Nama Mata Kuliah) Linear Algebra for Statistics Faculty
(Fakultas) Mathematics and Natural
Sciences Study Program
(Program Studi) Statistics Code
(Kode) SST-103 Credit Point
(Bobot SKS) 3 Group
(Kelompok)
Study Program Enrollment
Obligatory
(Sifat Pengambilan)
Mandatory
Semester(s) in which course is taught (Semester)
1 Availbility
(Ketersediaan)
Only available on Statistics Study Program
Learning Method (Bentuk
Pembelajaran)
Blended learning/Online learning Media
(Media) Class, google classroom, Zoom Course Category
(Rumpun Mata Kuliah)
University compulsory course/SSP compulsory
course/practicum/compulsory of scientific interest/elective course
Requirements
(Prasyarat) -
Lecturer
(Dosen Pengampu) Dina Tri Utari, M.Sc. Semester/Academic Year
(Semester/
Tahun Akademik)
Semester 1 A.Y. 2023/2024
COMPETENCY EXAM-1
1. Solve the following system using Gauss-Jordan elimination:
10𝑦 − 4𝑧 + 𝑤 = 1 𝑥 + 4𝑦 − 𝑧 + 𝑤 = 2 3x + 2y + z + 2w = 5
−2𝑥 − 8𝑦 + 2𝑧 − 2𝑤 = −4 𝑥 − 6𝑦 + 3𝑧 = 1
2. Express the matrix equation as a system of linear equations:
4 3 −1 2
4 3 7
−2 1 5
6 4 𝑥
!𝑥
"𝑥
#6 = 4 2
−1 4 6 3. A square matrix 𝐴 is symmetric if 𝐴 = 𝐴
$.
Determine all values of 𝑎, 𝑏, 𝑐 such that 𝐴 is symmetric.
𝐴 = 4 2 𝑎 − 2𝑏 + 2𝑐 2𝑎 + 𝑏 + 𝑐
3 5 𝑎 + 𝑐
0 −2 7
6
PROGRAM STUDI STATISTIKA
Lembar Penugasan
Versi/Revisi 1/0 Halaman 2/2
4. By inspection, explain why 𝑑𝑒𝑡(𝐴) = 0?
𝐴 = A
−2 8 1 4
3 2 5 1
1 4 10
−6 6 4 5
−3 B
5. For what values of 𝑘 is 𝐴 invertible?
𝐴 = D𝑘 − 3 −1
−2 𝑘 − 2 E
Date: Date: Date:
Validated by (Disyahkan oleh)
Examined by (Diperiksa oleh)
Prepared by (Disiapkan oleh)
Head of SSP-UII Scientific Interest Coordinator Dina Tri Utari, M.Sc.
