Matriks Fundamental II
| Main Author: | Arifin, Achmad; Bagian Matematika ITB |
|---|---|
| Format: | Article info application/pdf eJournal |
| Bahasa: | eng |
| Terbitan: |
ITB Journal Publisher, LPPM ITB
, 2019
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| Subjects: | |
| Online Access: |
http://journals.itb.ac.id/index.php/jmfs/article/view/9727 http://journals.itb.ac.id/index.php/jmfs/article/view/9727/3702 |
Daftar Isi:
- Ringkasan. Suatu matriks kwadratis kita katakana fundamental djika ia simetris dan setiap submatriks utamanja mempunjai deretminan jang positif. Misalkan f suatu bentuk bilinier pada suatu ruang vector berdimensi hingga atas lapangan riil, dan f berkoresponensi dengan suatu matriks G. kita buktikan, bahwa f suatu hasilkali-dalam djika dan hanja djika G fundamental.Abstract. We define a square matrix to be fundamental if it is symmetric and all its principal submatrices have positive determinants. Let f be a bilinear form on finite-dimensional vector space over the real field which corresponds to a matrix G. We prove that f is an inner-product if and only if G is fundamental.