| Mathematics Department | Non mathematics Majors |

Matrix order | Less than 4 | Any high order (up to hundreds) |

Theory | Classical theory for small matrices | Theory adapt to large matrices |

Tools and results | Pencil, symbolic formula | Computer, numerical & symbolic results |

Emphasized on | Abstract thinking of N-dimension | 3-D spatial concept |

Applications | Few examples of small integer matrices | Real world complex problems in many area |