# RS Aggarwal Class 12 Adjoint and Inverse of Matrix pdf Download

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### What is Adjoint and Inverse of Matrix?

The adjoint of a square matrix A is the transpose of the matrix of cofactors of A, denoted as adj(A). It can be used to find the inverse of a matrix, if it exists.

The inverse of a matrix A, denoted as A^-1, is a matrix that satisfies the equation A * A^-1 = I, where I is the identity matrix. If a matrix has an inverse, it is called invertible. Not all matrices have an inverse.

The formula for finding the inverse of a 2×2 matrix is:

A^-1 = (1/det(A)) * [[d, -b], [-c, a]]

where, det(A) is the determinant of A and a, b, c, and d are the entries of the original matrix.

For matrices of larger sizes, the adjoint and inverse can be found using advanced linear algebra methods such as Gaussian elimination or LU decomposition.

Rs-Aggarwal-class-12-ch-7-pdf-download## RS Aggarwal Class 12 (All Chapters PDF)

Chapter no. | chapter name | |
---|---|---|

1 | Relations | Download |

2 | Functions | Download |

3 | Binary Operations | Download |

4 | Inverse Trigonometric Functions | Download |

5 | Matrices | Download |

6 | Determinants | Download |

7 | Adjoint and Inverse Of Matrix | Download |

8 | System of Linear Equations | Download |

9 | Continuity and Differentiability | Download |

10 | Differentiations | Download |

11 | Applications of Derivatives | Download |

12 | Indefinite Integrals | Download |

13 | Methods of integration | Download |

14 | Some Special integrals | Download |

15 | Integration using Partial Functions | Download |

16 | Definite integrals | Download |

17 | Area of Bounded Regions | Download |

18 | Differential equations and their formations | Download |

19 | Differential equations with variable separable | Download |

20 | Homogeneous Integral equations | Download |

21 | Linear Differential equations | Download |

22 | Vectors And Their Properties | Download |

23 | Scalar, or Dot product of Vectors | Download |

24 | Cross or vector products of Vector | Download |

25 | Product of three vectors | Download |

26 | Fundamental Concepts of 3D Geometry | Download |

27 | Straight Line in Space | Download |

28 | The Plane | Download |

29 | Probability | Download |

30 | Bayesâ€™s Theorem and its Applications | Download |

31 | Probability Distribution | Download |

32 | Binomial Distributions | Download |

33 | Linear Programming | Download |