Linear Algebra for Electrical Engineering 1

1. Fields: the definition of a field, complex numbers.

2. Linear equations: elementary operations, row reduction, homogeneous and non-homogeneous equations, parametrization of solutions.

3. Vector spaces: examplex, subspaces, linear independence, bases, dimension.

4. Matrix algebra: matrix addition and multiplication, elementary operations, the inverse matrix, the determinant and Cramer’s law. Linear transformations: examples, kernel and image, matrix representation.

1 Fields: the definition of a field, complex numbers. 2. Linear equations: elementary operations, row reduction, homogeneous and non-homogeneous equations, parametrization of solutions. 3. Vector spaces: examplex, subspaces, linear independence, bases, dimension. 4. Matrix algebra: matrix addition and multiplication, elementary operations, the inverse matrix, the determinant and Cramer’s law. Linear transformations: examples, kernel and image, matrix representation.