Università Roma Tre

Linear algebra:
Matrix theory. Determinants, rank. Linear systems. Vector spaces. Linear morphisms. Eigenvalues and eigenvectors.
Diagonalization. Scalar product, Symmetric operators. Spectral theorem.
Geometry:
Affine and Euclidean geometry of the plane and of the space.

F. Flamini, A. Verra: Matrici e vettori. Corso di base di geometria e algebra lineare. Carocci.
E. Schlesinger: Algebra lineare e geometria, Zanichelli.
L. Mauri e E. Schlesinger: Esercizi di algebra lineare e geometria, Zanichelli.

Linear Algebra:
Matrices. Determinants. Rank. Linear systems. Vector spaces. Linear applications. Eigenvalues ​​and eigenvectors.
Diagonalization. Scalar product. Symmetric operators.
Geometry:
Affine geometry of the plane and space. Euclidean geometry of the plane and space.

F. Flamini, A. Verra: Matrici e vettori. Corso di base di geometria e algebra lineare. Carocci.
Also suggested:
E. Schlesinger: Algebra lineare e geometria, Zanichelli.
L. Mauri e E. Schlesinger: Esercizi di algebra lineare e geometria, Zanichelli.

Alternatively, any book dedicated to Engineering classes can be freely chosen.