Akademik Dersler - İçerik

Defines systems of linear equations and the concept of matrices; analyzes and solves linear systems using basic matrix operations.
Explains the concept of determinants; relates determinant properties to invertibility, linear independence, and solution of linear systems.
Defines vector spaces, subspaces, and the concept of basis; analyzes linear dependence/independence and the structure of vector sets.
Defines linear transformations; constructs their matrix representations and examines their fundamental properties.
Explains eigenvalues and eigenvectors; analyzes the structure of linear systems through diagonalization and similarity transformations.
Formulates mathematical problems using linear algebra concepts, selects appropriate methods, and interprets the results.