{ "item_title" : "A Textbook of Matrix Algebra", "item_author" : [" Jayesh M. Dhodiya", "Anita Tailor "], "item_description" : "In 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).For more details, please visit https: //centralwestpublishing.com", "item_img_path" : "https://covers2.booksamillion.com/covers/bam/1/92/261/738/1922617385_b.jpg", "price_data" : { "retail_price" : "124.99", "online_price" : "124.99", "our_price" : "124.99", "club_price" : "124.99", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }

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