Week - 1 |
Basic matrix and vector definitions and operations. |
Week - 2 |
The above and review of complex numbers. |
Week - 3 |
Systems of linear equations, Gauss-Jordan elimination, rank of a matrix. (Ch.1) |
Week - 4 |
Linear transformations. (Ch.2) |
Week - 5 |
Linear transformations, matrix inverse. |
Week - 6 |
Subspaces of Rn and their dimensions (range and null spaces, bases, linear independence). (Ch.3) |
Week - 7 |
Subspaces of Rn and their dimensions (dimension, column rank of a matrix, coordinates, similar matrices). |
Week - 8 |
Orthogonality and least squares (vector norm, orthogonal projections, Gram-Schmidt orthogonalization, QR factorization). (Ch.5) |
Week - 9 |
Orthogonality and least squares (orthogonal matrices and transformations, least squares and data fitting). |
Week - 10 |
Eigenvalues and eigenvectors. (Ch.7) |
Week - 11 |
The above, diagonalization, Cayley-Hamilton theorem. |
Week - 12 |
The above, diagonalization, Cayley-Hamilton theorem. |
Week - 13 |
The above, diagonalization, Cayley-Hamilton theorem. |