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Achmad Arifin
Bagian Matematika ITB
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Matriks Fundamental II Achmad Arifin
Journal of Mathematical and Fundamental Sciences Vol. 6 No. 3 (1972)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Abstract

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. 
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