Note: Please check your Spam or Junk folder, in case you didn't receive the email with verification code.
1. Real matrices – Symmetric, skew – symmetric, orthogonal
2. Complex matrices: Hermitian, Skew- Hermitian and Unitary Matrices
3. Idempotent matrix, Elementary row and column transformations- Elementary matrix, Finding rank of a matrix by reducing to Echelon and normal forms
4. Finding the inverse of a non-singular square matrix using row/ column transformations (Gauss- Jordan method)
5. Consistency of system of linear equations (homogeneous and non- homogeneous) using the rank of a matrix
6. Solving m x n and n x n linear system of equations by Gauss elimination.
7. Cayley-Hamilton Theorem (without proof) – Verification. Finding inverse of a matrix and powers of a matrix by Cayley-Hamilton theorem, Linear dependence and Independence of Vectors.
8. Eigen values and eigen vectors of a matrix. Properties of eigen values and eigen vectors of real and complex matrices. Finding linearly independent eigen vectors of a matrix when the eigen values of the matrix are repeated.
9. Diagonalization of matrix -Quadratic forms up to three variables.
10. Rank – Positive definite, negative definite, semi definite, index, signature of quadratic forms
11. Reduction of a quadratic form to canonical form, Nature of quadratic forms
No Preview is available for this book
CategoriesEngineering Mathematics
Format EPUB
TypeeBook