Many elite programs (especially in Engineering and Science) at HKU, CUHK, and HKUST either require or heavily prefer students who have taken M2.
Given ( A = \beginpmatrix 2 & 1 \ 1 & 2 \endpmatrix ), find ( A^-1 ) and solve ( A \mathbfx = \beginpmatrix 5 \ 4 \endpmatrix ). mathematics extended part module 2
If ( y = x^\sin x ), find ( \fracdydx ). Many elite programs (especially in Engineering and Science)
| Topic | Key Concepts | |-------|--------------| | | Matrix operations, inverse, rank, determinant properties, solving linear systems (Cramer’s rule) | | Systems of Linear Equations | Unique, infinite, or no solution cases; Gaussian elimination | | Vectors | 2D/3D vectors, dot product, cross product, scalar triple product, applications to geometry | | Eigenvalues & Eigenvectors | Characteristic equation, diagonalization of 2×2 matrices, simple applications | | Topic | Key Concepts | |-------|--------------| |