Week - 1 |
Systems of linear equations:definition and examples. |
Week - 2 |
Matrices, Operations on matrices, the inverse of a matrix. |
Week - 3 |
Solutions of systems of linear equations, Gauss-Jordan elimination. |
Week - 4 |
Determinants: definition and properties. |
Week - 5 |
Cofactor expansion of determinant and applications. |
Week - 6 |
Vectors in the plane and vectors in space. |
Week - 7 |
Vector spaces and subspaces. |
Week - 8 |
Subspaces, linear independence. |
Week - 9 |
Basis and dimension. |
Week - 10 |
The rank of a matrix. |
Week - 11 |
Linear transformations. |
Week - 12 |
Matrices of linear transformations. |
Week - 13 |
Eigenvalues and eigenvectors. |
Week - 14 |
Diagonalization. |