海南师范大学学报:自然科学版
海南師範大學學報:自然科學版
해남사범대학학보:자연과학판
Journal of Hainan Normal University:Natural Science
2012年
1期
26-27
,共2页
实对称矩阵%二次型%等价向量组%惯性定理
實對稱矩陣%二次型%等價嚮量組%慣性定理
실대칭구진%이차형%등개향량조%관성정리
real symmetric matrix%quadratic form%equivalent vectors%inertia theorem
由实对称矩阵与实二次型的联系,巧妙地选取两组等价向量代入实二次型。依据结果及向量组的性质给出惯性定理的证明,简明清晰。
由實對稱矩陣與實二次型的聯繫,巧妙地選取兩組等價嚮量代入實二次型。依據結果及嚮量組的性質給齣慣性定理的證明,簡明清晰。
유실대칭구진여실이차형적련계,교묘지선취량조등개향량대입실이차형。의거결과급향량조적성질급출관성정리적증명,간명청석。
Based on the connection of the real symmetric matrix and real quadratic form, two equal selected vector were introduced into real quadratic forms, according to the results and the nature of the vector group, the inertia theorem was proved concisely and clealy.