"Babes-Bolyai" University of Cluj-Napoca
Faculty of Mathematics and Computer Science

Linear algebra
Code
Semes-
ter
Hours: C+S+L
Credits
Type
Section
MA002
2
2+2+0
6
compulsory
Matematică
MA002
2
2+2+0
6
compulsory
Informatică
MA002
2
2+2+0
5
compulsory
Matematică-Informatică
MA002
2
2+2+0
6
compulsory
Matematici Aplicate
MA002
1
2+2+0
7
compulsory
Tehnologie Informatica
Teaching Staff in Charge
Prof. CALUGAREANU Grigore, Ph.D., calu@math.ubbcluj.ro
Prof. MARCUS Andrei, Ph.D., marcus@math.ubbcluj.ro
Lect. SACAREA Cristian, Ph.D., csacarea@math.ubbcluj.ro
Aims
Notions and results concerning linear algebra.
Content
The course presents elements of Linear Algebra: linear maps and matrices; change of bases-automorphisms; eigenvectors and eigenvalues, eigenspaces; diagonalizable and triangulable matrices; Jordan canonical form; hermitian and quadratic forms; unitary, hermitian and anti-hermitian matrices; spectral theorem; Sylvester's law of inertia; linear systems of equations: compatibility, Kronecker-Capelli and Rouche theorems.
References
1. G. Pic, Purdea, Tratat de algebra moderna, vol.1, Editura Academiei, 1977.
2. I. Purdea, Tratat de algebra moderna, vol.2, Editura Academiei, 1982.
3. G. Calugareanu, lectii de algebra liniara, Litografiat Univ. Babes-Bolyai, 1995.
4. I. D. Ion, N. Radu, Algebra (ed.3-a), Editura Didactica si Pedagogica, 1981.
5. N. Bourbaki, Algebre, chap.1 -3, Editura Hermann, 1970.
6. L. Salce, Lezioni di Algebra lineare due, edizione ridotta, Decibel-Zanichelli, 1992.
Assessment
Exam.