CD Skripsi

Invers Moore-Penrose Untuk Matriks Interval Dan Aplikasinya Pada Bidang Pendidikan

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This final project discusses the Moore-Penrose inverse of interval matrices. The development of interval numbers has been studied by many researchers. For example, the multiplication operation of interval numbers, but the operation used by most researchers still has a weakness, namely the result of multiplying an interval number with its inverse does not produce an identity. Therefore, a modification of the multiplication operation and its inverse is needed to ensure the existence of the inverse always produces an identity, then it is used to de- termine the Moore-Penrose inverse of an interval matrix and shows that all four Moore-Penrose inverse criteria for interval matrices are met. Furthermore, se- condary data in the field of education is used, namely the percentage of students who complete education at the elementary/equivalent, junior/equivalent, and senior/equivalent levels obtained from the Central Statistics Agency (BPS). This data is processed into an interval matrix form and the inverse Moore-

Penrose interval matrix is applied to the linear equation

A˜X˜

= ˜b to predict

the data in the following year. The predictions obtained can be used by deci- sion makers, for example, to determine the number of educators needed or the addition of schools at the required education level.

Keywords: Interval number, interval matrix, the Moore-Penrose inverse, app- lications in the field of education

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Ketersediaan

Informasi Detail

Judul Seri

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No. Panggil

2003135436

Penerbit

Pekanbaru : Universitas Riau – FMIPA – Matematika., 2024

Deskripsi Fisik

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Bahasa

Indonesia

ISBN/ISSN

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Klasifikasi

2003135436

Tipe Isi

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Tipe Media

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Tipe Pembawa

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Edisi

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Subjek

MATEMATIKA

Info Detail Spesifik

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Pernyataan Tanggungjawab

Mutia

Versi lain/terkait

Lampiran Berkas

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