### 2022–23–A

## Dr. Yaar Solomon

#### Time and Place:

- יום א 16:00 - 14:00 in קרייטמן-זלוטובסקי(חדש) [34] חדר 114
- יום ג 12:00 - 10:00 in גולדברגר [28] חדר 204

## Course topics

- Complex numbers. Fields: definition and properties. Examples.
- Systems of Linear equations. Gauss elimination process.
- Matrices and operations on them. Invertible matrices.
- Determinant: definition and properties. Adjoint matrix. Cramer rule.
- Vector spaces and subspaces. Linear spanning and linear dependence. Basis and dimension. Coordinates with respect to a given basis.
- Linear transformations. Kernel and Image. Isomorphism of vector spaces. Matrix of a linear transformation with respect to given bases.
- The space of linear transformations between two vector spaces. Dual space