矩陣的等價關(guān)系與標準形的應(yīng)用

摘要: 在矩陣的集合上建立等價關(guān)系并決定一個具有規(guī)定形式的代表元的集合,將一般矩陣的研究轉(zhuǎn)化為對代表元的研究.本文從建立不同的等價關(guān)系出發(fā),討論了矩陣的標準形,依據(jù)矩陣的標準形的特點,討論了它們在矩陣理論和解題中的應(yīng)用.
關(guān)鍵詞: 矩陣； 等價關(guān)系； 標準形； 應(yīng)用

Matrix equal relations and the application of normal form

Abstract: Establishes equal relations in the matrix set and decides a set which has a represetative element of stipulation form,transforms the qeneral matrix research into the representative element research.This article embarks from the equal relations establishes differently,discusses the matrix normal form,basises the characteistic of the matrix normal form,discusses their application in the matrix theary and the problem solving.
KeyWords: Matrix；Equal relations；Normal form；Using