Do''rusal Cebir II: Kare Matrisler, Hesaplama Y''ntemleri ve Uygulamalar / Linear Algebra II: Square Matrices, Calculation Methods and Applications

Do”rusal cebir ikili dizinin ikincisi olan bu ders birinci derste verilen temel bilgilerin ”zerine eklemeler yap”larak tamamen matris i”lemleri ve uygulamalar”n’
kapsamaktad”r. Cebirsel denklem sistemleri, sonu”lar”n tekilli”i ve var olup olmad, determinantlar ve onlar”n do”al olarak nas”l olu”tu”u, ”z de”er problemleri ve onlar”n matris fonksiyonlar”na uygulan vb. konulara derste de”inilmektedir. Ders ger”ek ya”amdan gelen uygulamalar’
da tan”tmaya ”nem veren ”’i”erikli yakla’mla”
tasarlanm’t”r. B”l”mler: B”l”m 1: Do”rusal Cebir I’in ‘ zeti B”l”m 2: Kare Matrislerde Determinant B”l”m 3: Kare Matrislerin Tersi B”l”m 4: Kare Matrislerde ‘ zde”er Sorunu B”l”m 5: Matrislerin K’egenle”tirilmesi B”l”m 6: Matris Fonksiyonlar’
B”l”m 7: Matrislerle Diferansiyel Denklem Tak”mlar’
———– 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 ”’content based”
emphasis, answering the ”’why”
and ”’where”
of the topics, as much as the traditional ”’what”
and ”’how”
leading to ”’definitions”
and ”’proofs”
. 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”kar, ”’Do”rusal cebir”
. Bu kitap d”rt ciltlik dizinin nc’
cildidir. Dizinin di”er kitaplar’
Cilt 1 ”’Tek de”i”kenli fonksiyonlarda t”rev ve entegral”
, Cilt 2: “‘ ok de”i”kenli fonksiyonlarda t”rev ve entegral” ve Cilt 4: ”’Diferansiyel denklemler”
dir. Source: Attila A”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.