{"product_id":"a-textbook-of-matrix-algebra-von-jayesh-m-dhodiya-und-anita-tailor","title":"A Textbook of Matrix Algebra","description":"\u003cp\u003eIn order to provide a balanced and comprehensive account of matrix algebra, this book covers the core theory and methods in matrix analysis. The book consists of eight chapters. Chapter 1 is an introduction to matrices that introduces matrices using real-world examples, basic definitions and operations of matrix algebra. This chapter also includes solutions of the algebraic system of equations by matrix theory. Chapter 2 introduces the rank theory and its applications. This chapter includes the solution of simultaneous non-Homogeneous and homogeneous equations and methods to identify linear dependence and linear independence of vectors. Chapter 3 introduces eigenvalues and eigenvectors with their properties and importance. This chapter also includes Cayley Hamilton Theorem and its applications. Chapter 4 discusses special operations on matrices. The chapter also includes diagonalization-powers of a square matrix, orthogonalization of a symmetric matrix and Sylvester Theorem. Chapter 5 deals with the quadratic forms of matrices. This chapter presents canonical form, Lagrange's method of reduction of a quadratic form to the diagonal form and reduction to canonical form by orthogonal transformation. Chapter 6 introduces different kinds of real and complex matrices and their properties. Chapter 7 and chapter 8 introduce different methods to solve the linear system of equations and their limitations. Chapter 7 discusses Cramer's rule (methods of determinant), method of matrix inversion, Gauss elimination Method, Gauss Jordan Method, Cholesky's triangularization method, triangularization of a symmetric matrix, LU decomposition method\/Crout's method, whereas chapter 8 deals with the numerical solution of the linear system of equations. These chapters include the iterative method (Jacobi method), the Gauss- Seidel method and successive over relaxation method (SOR).\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eFor more details, please visit https:\/\/centralwestpublishing.com\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9781922617385\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9781922617385","offer_id":46765507903813,"sku":"9781922617385","price":115.2,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/371d7b8f-b78a-4b8f-92ac-888220a7da05.jpg?v=1775189994","url":"https:\/\/shop.autorenwelt.de\/products\/a-textbook-of-matrix-algebra-von-jayesh-m-dhodiya-und-anita-tailor","provider":"Autorenwelt Shop","version":"1.0","type":"link"}