MATRIX THEORY
Vector spaces, Bases and dimension, Direct ums, linear transformations, Matrix algebra, Eigenvalues and eigenvectors, Cayley Hamilton Theorem, Jordan canonical form., Orthogonal matrices and rotations, Polar decomposition., Bilinear forms.
Books
- Artin, M., Algebra, Prentice-Hall of India, 1994.
- Hoffman, K and Kunze R., Linear Algebra, Prentice-Hall of India, 1972.
- Halmos, P.R., Finite dimensional vector spaces, van Nostrand, 1974.
- Greub, W.H., Linear algebra, Springer-Verlag, 1967.