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Matrix Algebra

Matrix Algebra

          
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About the Book

Fully rigorous treatment starts with basics and progresses to sweepout process for obtaining complete solution of any given system of linear equations and role of matrix algebra in presentation of useful geometric ideas, techniques, and terminology. Also, commonly used properties of determinants, linear operators and linear transformations of coordinates.
About Author :
Prof. S.K. Jain holds a doctorate degree in mathematics. He is widely known for his research work, and academic achievements. He retired as an Associate Professor from one of leading universities of Canada. The research career of Dr. S.K. Jain span a period of nearly 25 years which saw rapid developments in various aspects of modern mathematics. Dr. Jain has played a significant role of these developments.
Contents :
Preface
Matrix (Mathematics)
Matrix Algebra: Introduction
Multiplication of Matrices
Algebraic Properties of Matrix Operations
Invertible Matrices
Special Matrices: Triangular, Symmetric, Diagonal
Elementary Operations for Matrices
Matrix Exponential
Complex Numbers as Matrices
Markov Chains
System of Equations: An Introduction
System of Linear Equations: Gaussian Elimination
System of Equations in Two Variables
System of Equations in Three Variables
Application of Determinant to Systems: Cramer's Rule
Introduction to Determinants
Determinants of Matrices of Higher Order
Determinant and Inverse of Matrices
Application of Determinant to Systems: Cramer's Rule
Introduction to Determinants
Determinants of Matrices of Higher Order
Determinant and Inverse of Matrices
Application of Determinant to Systems: Cramer's Rule
Eigenvalues and Eigenvectors; An Introduction
Computation of Eigenvalues
The Cae of Complex Eigenvalues
Diagonalization


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Product Details
  • ISBN-13: 9788176257039
  • Publisher: Sarup Book Publishers (P) Ltd.
  • Publisher Imprint: Sarup Book Publishers (P) Ltd.
  • Edition: 1
  • No of Pages: 120
  • ISBN-10: 8176257036
  • Publisher Date: 2006
  • Binding: Hardcover
  • Language: English

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