【正文】
題的重要理論依據(jù)。本文首先用三種方法證明了行列式的乘法規(guī)則,包括數(shù)學(xué)歸納法,利用拉普拉斯定理證明和用矩陣分塊思想證明。關(guān)鍵詞:行列式;拉普拉斯定理;分塊矩陣The Proof Methods of Determinant Multiplication Rule and Its ApplicationsName: Xia Jiajun Student Number: 200940510340 Advisor: Tang JianAbstract: The multiplication rule of the determinant is the important theoretical basis to solve the associated problems. Through learning about it, it is helpful for us to better master and apply the solving skills of the determinant problem to solve related problems. Firstly, this paper use three methods to prove the multiplication rule of the determinant, including mathematical induction, the Laplace theorem and the through of partitioned matrices .Finally, give some applications of the multiplication rule of determinant. Key words: determinant。 partitioned matrix 目 錄 1 1 1 5 8 9 11參考文獻(xiàn) 11致 謝 13線性方程組是數(shù)學(xué)中最基礎(chǔ)也是應(yīng)用最廣泛的內(nèi)容之一,而行列式是解線性方程組的一個(gè)基本工具。在學(xué)習(xí)行