| 1 | define the concept of determinant, express and prove theorems related to determinants; elementary properties. |
| 2 | define inner product and make applications about inner product. |
| 3 | define the concept of orthogonality and its basic properties. |
| 4 | make applications about diagonalisation and triangularisation |
| 5 | explain the concept of eigenvalue and eigenvector, express and prove some properties concerned with finding some special matrix? eigenvalue. |