# Chapter 1: Matrices and Determinants

1.1: Matrix |
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1. Introduction to Matrix |

2. Problem 1: Introduction to Matrix |

3. Order of Matrix |

4. Problem 1: Order of Matrix |

5. Equal Matrices |

6. Problem 1: Equal Matrices |

1.4: Multiplication of Matrices |
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1. Multiplication of Matrices |

2. Problem 1: Multiplication of Matrices |

3. Problem 2: Multiplication of Matrices |

4. Associative law under Multiplication of matrices |

5. Problem 1: Associative law under Multiplication of matrices |

6. Distributive Law of Multiplication over Addition for Matrices |

7. Problem 1: Distributive Law of Multiplication over Addition for Matri |

8. Commutative Law of Multiplication of Matrices |

9. Problem 1: Commutative Law of Multiplication of Matrices |

10. Multiplicative Identity of a Matrix |

11. Problem 1: Multiplicative Identity of a Matrix |

1.5: Multiplicative Inverse of a Matrix |
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1. Determinant of 2-by-2 Matrix |

2. Problem1-Singular and Non-Singular Matrix |

3. Problem2-Singular and Non-Singular Matrix |

4. Singular and Non-singular Matrix |

5. Problem 1: Singular and Non-singular Matrix |

6. Adjoint of a Matrix |

7. Problem 1: Adjoint of a Matrix |

8. Multiplicative Inverse of a Non-Singular Matrix |

9. Problem 1: Multiplicative Inverse of a Non-Singular Matrix |

10. Inverse of Matrix using Adjoint |

11. Problem 1: Inverse of Matrix using Adjoint |

12. Property for whole transpose of product of Matrices |

13. Problem 1: Property for whole transpose of product of Matrices |

1.6: Solution of Simultaneous Linear Equations |
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1. Solving Simultaneous Equations-Inversion Method |

2. Solving Simultaneous Equations-Cramers Rule |