Home
Class 12
MATHS
If A = [(3,1),(4,-1)], then find A^(-1)....

If A = `[(3,1),(4,-1)]`, then find `A^(-1)`.

Text Solution

Verified by Experts

The correct Answer is:
`A^(-1)=1/7[(1,1),(4,-3)]`
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

If A=[(3,-4),(1,-1)] then find tr. (A^(2012)) .

If A^(-1) = ((3,1),(-1,2)) ,find A.

If A = [(2,1),(3,4)] and B = [(1,-2),(-1,1)] , find the value of (AB)^(-1) .

If A=[(1,1,-1),(2,0,3),(3,-1,2)],B=[(1,3),(0,2),(-1,4)] and C=[(1,2,3,-4),(2,0,-2,1)] , find A(BC), (AB)C and show that (AB)C=A(BC) .

If A=[(2,-1),(3,1)] and B=[(1,4),(7,2)] , find 3A-2B .

If A={:[(2,0,1),(1,0,-1),(0,-1,1)]:}, find the matrix for the polynomial A^(2)-4A+3I.

If A = {:[( 1,1,-2),(2,1,-3),(5,4,-9)]:}, Find |A|

Find the equation of the plane passing through the following points: (i) (2,3,4),(4,-1,2) and (-3,5,1) (ii) (3,3,0),(1,1,1) and (0,-1,0)

If A= {:[( 2,-1,1),(-1,2,-1),(1,-1,2) ]:} Verify that A^(3) -6A^(2) +9A -4I=O and hence find A^(-1)

If A = |[1,2,-3],[2,3,2],[3,-3,-4]| , find A^(-1)

CHHAYA PUBLICATION-ADJOINT AND INVERSE OF A MATRIX AND SOLUTION OF LINEAR SIMULTANEOUS EQUATIONS BY MATRIX METHOD-LONG ANSWER TYPE QUESTIONS
  1. Solve by matrix inversion method the following system of equations. ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. If A=[(1,0,0),(0,1,0),(0,0,1)] then A^2+2A=

    Text Solution

    |

  8. If A is a 3×3 matrix and B is it's adjoint matrix. if |B|=64, then |A|...

    Text Solution

    |

  9. If A and B are symmetric matrices then

    Text Solution

    |

  10. From the matrix equation AX = B, find X, given A = [(1,-1),(2,1)] an...

    Text Solution

    |

  11. If 1, omega,omega^(2) are the cube roots of unity then the vlue of m f...

    Text Solution

    |

  12. Given A = [(1,2,3),(3,-2,1),(4,2,1)] , X = [(x),(y),(z)] and B = [(1),...

    Text Solution

    |

  13. If A = [(1,2),(-2,2)] find A^(T).

    Text Solution

    |

  14. If A={:[(4,2),(-1,1)]:} then (A-2I)(A-3I) is equal to

    Text Solution

    |

  15. Find the product [(1,-1,0),(2,3,4),(0,1,2)] xx [(2,2,-4),(-4,2,-4),(2,...

    Text Solution

    |

  16. Let A = [(2,8),(1,1)], find A^(-1).

    Text Solution

    |

  17. If A=[(0,1),(1,0)],then A^4=

    Text Solution

    |

  18. Prove that the equations kx + y + z = 1, x + ky + z = k and x + y + kz...

    Text Solution

    |

  19. If for a matrix A, A^5=I, then A^-1=

    Text Solution

    |

  20. If A = [(3,1),(4,-1)], then find A^(-1).

    Text Solution

    |