“Linear Algebra – Matrices” is an eBook that covers the fundamental of determinants and matrices. It is designed to be accessible for engineering students who have a basic understanding of algebra. The book covers a wide range of topics, including matrix operations, determinants, elementary transformations, rank of a matrix, eigenvectors, eigenvalues, and more. This comprehensive resource is useful for students studying mathematics, engineering, computer science, physics, and other related fields.
Book Format: PDF
Disclaimer: Please note that this PDF eBook is provided solely for personal use and educational purposes. Any unauthorized reproduction, distribution, or commercial use of the material is strictly prohibited.
Table of Contents
- Determinant
- Properties of Determinant
- Matrices
- Type of Matrices
- Addition of Matrices
- Subtraction of Matrices
- Scalar Multiple of a Matrix
- Properties of Scalar Multiplication
- Multiplication
- Properties of Matrix Multiplication
- Adjoint of a Square Matrix
- Properties of Adjoint Matrix
- Inverse of A Matrix
- Properties of Inverse of A Matrix
- Elementary Transformations
- Elementary Matrices
- Rank of Matrix
- Echelon Form of a Matrix
- Solution of Simultaneous Equations
- Consistency of a System of Linear Equations
- Cramer’s Rule
- Vector
- Linear Dependence and Independence of Vectors
- Eigenvalues
- Properties of Eigenvalues
- Cayley-Hamilton Theorem
- Characteristic Vectors or Eigenvectors
- Properties of Eigenvectors
- Diagonalisation of a Matrix
- Applications of Matrices
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