Home
Class 12
MATHS
Find the adjoint and inverse of each of ...

Find the adjoint and inverse of each of the following matrices :
`((a,b),(c,d))`

Text Solution

Verified by Experts

The correct Answer is:
Adj.A = `A^-1 = [(a-ib,-c-id),(c-id,a+ib)]`
Promotional Banner

Topper's Solved these Questions

  • ADJOINT AND INVERSE OF A MATRIX AND SOLUTION OF LINEAR SIMULTANEOUS EQUATIONS BY MATRIX METHOD

    CHHAYA PUBLICATION|Exercise MULTIPLE CORRECT ANSWER TYPE|5 Videos

  • ADJOINT AND INVERSE OF A MATRIX AND SOLUTION OF LINEAR SIMULTANEOUS EQUATIONS BY MATRIX METHOD

    CHHAYA PUBLICATION|Exercise INTEGER ANSWER TYPE|5 Videos

  • ADJOINT AND INVERSE OF A MATRIX AND SOLUTION OF LINEAR SIMULTANEOUS EQUATIONS BY MATRIX METHOD

    CHHAYA PUBLICATION|Exercise SHORT ANSWER TYPE QUESTION|9 Videos

  • ALGEBRA

    CHHAYA PUBLICATION|Exercise JEE ADVANCED ARCHIVE 2016|5 Videos

Similar Questions

Explore conceptually related problems

Find the adjoint and inverse of each of the following matrices : ((2,-1),(-4,3))

Find the adjoint and inverse of each of the following matrices : A = [(3,4),(1,2)]

Find the adjoint and inverse of each of the following matrices : A = [(a+ib, c +id),(-c + id,a - ib)] where a^(2) + b^(2) + c^(2) + d^(2) = 1

Find the adjoint and inverse of each of the following matrices : A = [(1,2,-1),(2,4,6),(1,1,-2)]

Find the adjoint and inverse of each of the following matrices : [(cos alpha, sin alpha), (-sin alpha, cosalpha)]

Let A be an mxxn matrix. If there exists a matrix L of type nxxm such that LA=I_(n) , then L is called left inverse of A. Which of the following matrices is NOT left inverse of matrix [(1,-1),(1,1),(2,3)]?

Find the inverse of each of the matrices (if it exists ) {:[( -1,5),( -3,2) ]:}

Find the inverse of each of the matrices (if it exists ) {:[( 2,-2),( 4,3) ]:}

Find the inverse of each of the matrices (if it exists ) {:[( 1,2,3),( 0,2,4),( 0,0,5)]:}

Find the inverse of each of the matrices (if it exists ) {:[( 1,-1,2),( 0,2,-3) ,( 3,-2,4) ]:}

CHHAYA PUBLICATION-ADJOINT AND INVERSE OF A MATRIX AND SOLUTION OF LINEAR SIMULTANEOUS EQUATIONS BY MATRIX METHOD-LONG ANSWER TYPE QUESTIONS
  1. Find the adjoint and inverse of each of the following matrices : A =...

    Text Solution

    |

  2. Find the adjoint and inverse of each of the following matrices : [(...

    Text Solution

    |

  3. Find the adjoint and inverse of each of the following matrices : ((a...

    Text Solution

    |

  4. Find the adjoint and inverse of each of the following matrices : A ...

    Text Solution

    |

  5. Find the adjoint and inverse of each of the following matrices : A =...

    Text Solution

    |

  6. Solve by matrix inversion method the equations in each of the followin...

    Text Solution

    |

  7. Solve by matrix inversion method the equations in each of the followin...

    Text Solution

    |

  8. Solve by matrix inversion method the equations in each of the followin...

    Text Solution

    |

  9. Solve by matrix inversion method the equations in each of the followin...

    Text Solution

    |

  10. Show that the equations 5x + 6y = 3 = 0 and 4y + x = 5 are consistent...

    Text Solution

    |

  11. The order of the matrix A is 3×5 and that of order B is 2×3 then the o...

    Text Solution

    |

  12. If A=[(alpha,0),(1,1)], B=[(1,0),(5,1)] then the value of alpha if A^2...

    Text Solution

    |

  13. Solve by matrix inversion method the following system of equations. ...

    Text Solution

    |

  14. Solve by matrix inversion method the following system of equations. ...

    Text Solution

    |

  15. Solve by matrix inversion method the following system of equations. ...

    Text Solution

    |

  16. Solve by matrix inversion method the following system of equations. ...

    Text Solution

    |

  17. Solve by matrix inversion method the following system of equations. ...

    Text Solution

    |

  18. Solve by matrix inversion method the following system of equations. (...

    Text Solution

    |

  19. Solve by matrix inversion method the following system of equations. ...

    Text Solution

    |

  20. Solve by matrix inversion method the following system of equations. ...

    Text Solution

    |