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Do臒rusal cebir ikili dizinin ikincisi olan bu ders birinci derste verilen temel bilgilerin 眉zerine eklemeler yap谋larak tamamen matris i艧lemleri ve uygulamalar谋n谋 kapsamaktad谋r. Cebirsel denklem sistemleri, sonu莽lar谋n tekilli臒i ve var olup olmad谋臒谋, determinantlar ve onlar谋n do臒al olarak nas谋l olu艧tu臒u, 枚z de臒er problemleri ve onlar谋n matris fonksiyonlar谋na uygulan谋艧谋 vb. konulara derste de臒inilmektedir. Ders ger莽ek ya艧amdan gelen uygulamalar谋 da tan谋tmaya 枚nem veren 鈥渋莽erikli yakla艧谋mla鈥� tasarlanm谋艧t谋r.

B枚l眉mler: B枚l眉m 1: Do臒rusal Cebir I'in 脰zeti B枚l眉m 2: Kare Matrislerde Determinant B枚l眉m 3: Kare Matrislerin Tersi B枚l眉m 4: Kare Matrislerde 脰zde臒er Sorunu B枚l眉m 5: Matrislerin K枚艧egenle艧tirilmesi B枚l眉m 6: Matris Fonksiyonlar谋 B枚l眉m 7: Matrislerle Diferansiyel Denklem Tak谋mlar谋 ----------- This second of the sequence of two courses builds on the fundamentals of the first course, is entirely on matrix algebra and applications. Specifically, the studies include systems of algebraic equations including the existence and uniqueness of solutions, determinants and how they arise naturally, eigenvalue problems with their applications to diagonalization and matrix functions. The course is designed in the same spirit as the first one with a 鈥渃ontent based鈥� emphasis, answering the 鈥渨hy鈥� and 鈥渨here鈥� of the topics, as much as the traditional 鈥渨hat鈥� and 鈥渉ow鈥� leading to 鈥渄efinitions鈥� and 鈥減roofs鈥�. Chapters: Chapter 1: Summary of Linear Algebra I Chapter 2: Determinant Chapter 3: Inverse of Square Matrices Chapter 4: Eigenvalue Problem in Square Matrices Chapter 5: Diagonalization of Matrices Chapter 6: Matrix Functions Chapter 7: Matrices and Systems of Differential Equations ----------- Kaynak: Attila A艧kar, 鈥淒o臒rusal cebir鈥�. Bu kitap d枚rt ciltlik dizinin 眉莽眉nc眉 cildidir. Dizinin di臒er kitaplar谋 Cilt 1 鈥淭ek de臒i艧kenli fonksiyonlarda t眉rev ve entegral鈥�, Cilt 2: "脟ok de臒i艧kenli fonksiyonlarda t眉rev ve entegral" ve Cilt 4: 鈥淒iferansiyel denklemler鈥� dir. Source: Attila A艧kar, Linear Algebra, Volume 3 of the set of Vol1: Calculus of Single Variable Functions, Volume 2: Calculus of Multivariable Functions and Volume 4: Differential Equations.