Week - 1 |
Linear Equation Systems |
Week - 2 |
Solutions of systems of linear equations |
Week - 3 |
Gaussian elimination method |
Week - 4 |
Cramer method |
Week - 5 |
Eigenvalues and Eigenvectors: Basic definitions |
Week - 6 |
The rank of a linear transformation |
Week - 7 |
The characteristic polynomial of a linear transformation |
Week - 8 |
Diagonalization |
Week - 9 |
Fundamental theorem of algebra |
Week - 10 |
Inner Product Spaces: The concept of inner product |
Week - 11 |
Inner Product Spaces: The concept of the inner product |
Week - 12 |
Orthogonal systems |
Week - 13 |
Gram-Schmidt orthogonalization method |
Week - 14 |
Spectrum Theorem and Quadratic Forms |