Linear Algebra is a branch of Mathematics which includes lines, planes and subspaces but it deals with properties of all common vector spaces

- Review of matrices and determinants, Linear spaces, Bases and dimensions, Subspaces, Direct sums of subspaces, Factor spaces,
- Linear operators, Matrix representation and sums and products of linear operators, The range and null space of linear operators, Invariant subspaces.
- Eigen values and eigenvectors,
- Transformation to new bases and consecutive transformations, Transformations of the matrix of a linear operator,
- Canonical form of the matrix of a nilponent operator,
- Polynomial algebra and canonical form of the matrix of an arbitrary operator,
- The real Jordan canonical form,
- Bilinear and quadratic forms and reduction of quadratic form to a canonical form, Adjoint linear operators,
- Isomorphisms of spaces, Hermitian forms and scalar product in complex spaces,
- System of differential equations in normal form,
- Homogeneous linear systems, Solution by diagonalisation, Non-homogeneous linear systems

- Advanced Engineering Mathematics byCall Number: 620.00151 ZILISBN: 9780763745912Publication Date: 2006

- Practical Approach to Linear Algebraby Choudhary, Prabhat

Date Published: 2009

Pages: 295