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0. Symbols and Their Meanings 1. Basic Concepts of Sets and Set Operations 2. Vector Spaces and Subspaces 3. Linear Dependence of Vectors 4. Basis and .... Read More
0. Symbols and Their Meanings 1. Basic Concepts of Sets and Set Operations 2. Vector Spaces and Subspaces 3. Linear Dependence of Vectors 4. Basis and Dimension 5. Linear Transformations 6. Representation of Transformations by Matrices 7. Linear Functionals and The Dual Spaces 8. Bilinear Forms and Quadratic Forms 9. Projection and Invariance 10. Inner Product Spaces 11. Eigen Values and Eigen Vectors
| Sr | Chapter Name | No Of Page |
|---|---|---|
| 1 | SYMBOLS AND THEIR MEANINGS | 1 |
| 2 | BASIC CONCEPTS OF SET AND SET OPERATIONS | 3 |
| 3 | VECTOR SPACES AND SUBSPACES | 42 |
| 4 | LINEAR DEPENDENCE OF VECTORS | 27 |
| 5 | BASIS AND DIMENSION | 31 |
| 6 | LINEAR TRANSFORMATIONS | 74 |
| 7 | REPRESENTATION OF TRANSFORMATIONS BY MATRICES | 42 |
| 8 | LINEAR FUNCTIONALS AND THE DUAL SPACES | 37 |
| 9 | BILINEAR FORMS AND QUADRATIC FORMS | 26 |
| 10 | PROJECTION AND INVARIANCE | 18 |
| 11 | INNER PRODUCT SPACES | 79 |
| 12 | EIGEN VALUES AND EIGEN VECTORS | 79 |
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