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FAKTORISASI MATRIKS Nevi Nurmalasari; Yanita Yanita; I Made Arnawa
Jurnal Matematika UNAND Vol 8, No 1 (2019)
Publisher : Jurusan Matematika FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmu.8.1.242-248.2019

Abstract

Faktorisasi suatu matriks adalah suatu cara untuk menjadikan suatu matriks menjadi dua atau beberapa perkalian matriks. Misalkan A adalah suatu matriks, maka faktorisasi dari A dapat berbentuk A = A1A2 atau A = A1A2A3 · · · , dengan ukuran-ukuran yang disesuaikan untuk Ai. Menyelesaikan suatu faktorisasi ada yang menggunakan nilai/vektor eigen dan ada yang tanpa menggunakan nilai/vektor eigen.Kata kunci : faktorisasi, nilai/vektor eigen, eliminasi Gauss, basis, proses Gram-Schmidt
FUZZY BAG DAN APLIKASINYA DALAM PENGAMBILAN KEPUTUSAN MUTHIA GUSRIATI; ADMI NAZRA; I MADE ARNAWA
Jurnal Matematika UNAND Vol 9, No 4 (2020)
Publisher : Jurusan Matematika FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmu.9.4.278-286.2020

Abstract

Pada penelitian ini dibahas tentang konsep fuzzy bag, kardinalitas fuzzy bag, operasi-operasi pada fuzzy bag serta aplikasinya dalam pengambilan keputusan.Kata Kunci: Fuzzy bag, kardinalitas fuzzy bag, operasi-operasi pada fuzzy bag
Sifat Transformasi Linier Isometri, Operator Simetris, dan Teorema Spektral Lathifah Mudhiani; I Made Arnawa; Nova Noliza Bakar
Jurnal Matematika UNAND Vol 8, No 1 (2019)
Publisher : Jurusan Matematika FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmu.8.1.171-178.2019

Abstract

Isometri adalah suatu transformasi linier dari ruang hasilkali dalam ke ruang hasilkali dalam yang memenuhi beberapa aksioma. Operator linier pada ruang hasilkali dalam V ke V yang memenuhi T(v), w = v, T(w) , ∀v, w ∈ V , disebut operator self adjoint. Operator simetris adalah operator linier yang bernilai riil. Operator self adjoint merupakan konsep pendukung dari teorema spektral. Tulisan ini membahas sifat transformasi linier isometri, operator simetris, dan teorema spektral.Diterima: Direvisi: Dipublikasikan :Kata Kunci: Isometri, Self Adjoint, Spektral
Semidirect Products Putri May Windy; I Made Arnawa; Yanita Yanita
Jurnal Matematika UNAND Vol 8, No 1 (2019)
Publisher : Jurusan Matematika FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmu.8.1.255-259.2019

Abstract

Misalkan G adalah grup perkalian, dan X adalah grup Abelian terhadap operasi penjumlahan. Misalkan µ : G → Aut(X) adalah homomorfisma grup. ”Semidirect products” dari X dan G relatif ke µ didefinisikan sebagai X oµ G = {(x, a) | x ∈ X, a ∈ G}, dengan operasi (x1, a1)(x2, a2) = (x1 +µ(a1)[x2], a1a2), untuk x1, x2 ∈ X dan a1, a2 ∈ G. Tulisan ini membahas bagaimana hubungan semidirect products dengan homomorfisma grup dan sifat-sifat semidirect products.Kata Kunci: Grup, Subgrup, Subgrup Normal, Homomorfisma, Isomorfisma, Semidirect Products
EXTERNAL DAN INTERNAL DIRECT PRODUCTS PADA GRUP HESTI SRI HANDANI; I MADE ARNAWA; NOVA NOLIZA BAKAR
Jurnal Matematika UNAND Vol 9, No 4 (2020)
Publisher : Jurusan Matematika FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmu.9.4.373-381.2020

Abstract

Misalkan G1 dan G2 suatu grup dengan operasi biner, maka grup (G1×G2, ~) disebut grup external direct products dari G1 dan G2. Misalkan G adalah suatu grup dengan operasi biner, dan H1 dan H2 subgrup dari G. G disebut internal direct products dari H1 dan H2, jika setiap elemen dari H1 komutatif dengan setiap elemen dari H2, dan setiap elemen dari G dapat dinyatakan secara tunggal sebanyak hasil kali dari elemen H1 dan H2.Kata Kunci: Grup, Subgrup, Koset, Subgrup Normal, Fungsi, Isomorfisma Grup, External Direct Products, Internal Direct Products
Teorema Sylow Khoberlin Khoberlin; I Made Arnawa; Nova Noliza Bakar
Jurnal Matematika UNAND Vol 8, No 1 (2019)
Publisher : Jurusan Matematika FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmu.8.1.150-156.2019

Abstract

Tulisan ini membahas tentang Teorema Sylow. Misalkan G suatu grup dengan orde hingga, v suatu bilangan bulat positif, dan v membagi orde dari G, yang akan dibahas adalah syarat cukup agar G memuat subgrup dengan orde v.Kata Kunci: Grup, Orde, Subgrub, Teorema Sylow.
Analisis Kesalahan Siswa Kelas VIII SMP Dalam Menyelesaikan Soal Pemecahan Masalah Berdasarkan Tahapan Kastolan Sri Wahyuni; Hendra Syarifuddin; I Made Arnawa
JEMS: Jurnal Edukasi Matematika dan Sains Vol 10, No 2 (2022)
Publisher : Universitas PGRI Madiun

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25273/jems.v10i2.12504

Abstract

Mathematics is a learning science that can improve students' ability to solve a problem in Junior High School (SMP). However, many students still make mistakes when working on the questions. This article aims to describe a problem experienced by students when working on questions based on the Kastolan stages. This research is a qualitative descriptive research that uses data collection techniques, namely written tests and field notes. The subject of the research is to find students of class VIII SMP. the results of his research illustrate that there are three types of problems experienced by students when working on questions based on the Kastolan stages, namely, (1) conceptual errors, there are 46% of students who make this error; (2) procedural errors, 28% of students made this error; and (3) technical errors, there are 26% of students who make mistakes
The Development of Learning Device Based on Cognitive Conflict to Improve Mathematics Problem Solving Skills for Students in Madrasah Tsanawiyah Silvia Rahayu; Ahmad Fauzan; Yerizon Yerizon; I Made Arnawa
Jurnal Gantang Vol 7 No 1 (2022): Jurnal Gantang
Publisher : Universitas Maritim Raja Ali Haji

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (330.404 KB) | DOI: 10.31629/jg.v7i1.4416

Abstract

According to the National Council of Mathematics Teachers (NCTM) 2005, Mathematics is a means of problem-solving. NCTM also emphasizes that problem solving cannot be separated from learning Mathematics because problem-solving is an integral part of learning Mathematics. This study aims to improve the mathematical problem-solving ability of students in the Madrasah Tsanawiyah by using a cognitive conflict-based learning model. The subjects of this study were students of class VII Madrasah Tsanawiyah. This type of research is development research. Data collection was carried out in 3 stages, the investigation stage, the prototype phase, and the assessment phase as the level of implementation and achievement in using the cognitive conflict-based learning model. The instruments used in this study were in the form of interview guidelines, questionnaires, and observation sheets. The data analysis carried out is the analysis of data on the validity, practicality, and effectiveness of learning tools. The results of problem-solving abilities can be seen from the results of students' final tests in each meeting which always increase. Based on the study's results, it can be concluded that Cognitive Conflict-based mathematics learning tools can improve students' mathematical problem-solving abilities.
Modelling for changing transitive active imperative sentences to passive imperative sentences with algebraic structure approach Yuliana Shinta; Bahri Susila; Arnawa Imade
Jurnal Informatika Vol 16, No 2 (2022): May 2022
Publisher : Universitas Ahmad Dahlan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26555/jifo.v16i2.a25423

Abstract

The active imperative sentences often tend to sound harsh. The sentence has a commanding meaning and ends with an exclamation mark. In the Indonesian language, to be more polite, the sentence uses the word politeness and a different sentence structure. These more polite imperative sentences are called passive imperative sentences. Changing an active imperative sentence to a passive imperative sentence can be done mathematically through several stages. These stages are determining the set of word, and the set of word types, using binary operations to obtain the rules for changing the pronoun as an object to subject, determining the rules for substituting active verbs into passive verbs, determining algebraic structures for an active imperative sentence, specifying a set of politeness words, specifying rules for passive imperative sentence, transformation an active imperative sentence into a passive imperative sentence. The change method produces a mathematical model p to construct the more polite imperative sentence.
Pengembangan Media Pembelajaran Interaktif Menggunakan Model Missouri Mathematics Project Untuk Meningkatkan Kemampuan Komunikasi Matematik Peserta Didik Di Kelas VIII SMP Nurul Maulina Khairunnisa; Yerizon Yerizon; Suherman Suherman; I Made Arnawa
JIPM (Jurnal Ilmiah Pendidikan Matematika) Vol 11, No 1 (2022)
Publisher : Universitas PGRI Madiun

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25273/jipm.v11i1.13308

Abstract

This research was motivated by the low mathematical communication skills of junior high school students. This study aims to produce Interactive Learning Media using a valid, practical, and effective Missouri Mathematics Project model to facilitate mathematical communication skills. This research is a development research carried out with the Plomp development model. The Plomp development model consists of three stages, namely preliminary investigation, prototyping stage, and assessment phase. This research was conducted at SMP Negeri 3. Data collection instruments in the form of interviews, documentation, questionnaires and test questions. The data obtained are analyzed by quantitative and qualitative data analysis techniques. The results showed that the interactive learning media for mathematics using the Missouri Mathematics Project model developed was classified as a very valid category (86.62% for RPP and 83.93% for media) and very practical at 87% and 86.85% respectively (for RPP and small group media) 88.1% and 88.02% (for RPP and large group media). Meanwhile, based on the test results of the mathematical communication ability test questions, 83.33% of students knew the criteria for the success of the mathematical communication ability test > 80%, meaning that interactive learning media using the Missouri Mathematics Project model was very effective on methematic communication skills