矩陣的等價(jià)關(guān)系與標(biāo)準(zhǔn)形的應(yīng)用

摘要: 在矩陣的集合上建立等價(jià)關(guān)系并決定一個(gè)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(jià)關(guān)系出發(fā),討論了矩陣的標(biāo)準(zhǔn)形,依據(jù)矩陣的標(biāo)準(zhǔn)形的特點(diǎn),討論了它們在矩陣?yán)碚摵徒忸}中的應(yīng)用.
關(guān)鍵詞: 矩陣； 等價(jià)關(guān)系； 標(biāo)準(zhǔn)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