Linear Algebra I
| Course Purpose |
|---|
| The purpose of this course is for students to learn matrix operations, how to solve linear equations, and the basic properties of determinant. |
| Learning Goals |
| Students will be able to ・calculate the basic matrix ・solve linear equations using matrix theory ・master determinants and its applications |
| Topic | |
|---|---|
| Session 1 | Vectors and matrices |
| Session 2 | Matrix arithmetic |
| Session 3 | Basic transformations of matrices and echelon matrices |
| Session 4 | Solving a system of linear equations (1) |
| Session 5 | Solving a system of linear equations (2) |
| Session 6 | Nonsingular matrices and inverses |
| Session 7 | Quadratic determinant |
| Session 8 | n order determinant |
| Session 9 | Properties of determinants |
| Session 10 | Cofactor expansion |
| Session 11 | Representation of inverse matrix using cofactor expansion |
| Session 12 | Linear independence and linear dependence |
| Session 13 | Maximum number of linearly independent vectors |
| Session 14 | Matrix rank |