Home
Class 12
MATHS
Let A = [[1,-2,1],[-2,3,1],[1,1,5]] Veri...

Let `A = [[1,-2,1],[-2,3,1],[1,1,5]]` Verify that `(A^-1)^-1 = A`

Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    MODERN PUBLICATION|Exercise EXERCISE|326 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise EXERCISE|588 Videos

  • EXCLUSIVELY FOR JEE(ADVANCED)

    MODERN PUBLICATION|Exercise EXERCISE|38 Videos

Similar Questions

Explore conceptually related problems

Let A = [[1,-2,1],[-2,3,1],[1,1,5]] Verify that [adj A]^-1 = adj (A^-1)

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 .

Let A = [[3,7],[2,5]] and B = [[6,8],[7,9]] Verify that (AB)^-1 = B^-1A^-1

If A=[(1,2,5),(2,3,1),(-1,1,1)] verify that A^(-1)A="AA"^(-1)=I

If A=[[1,2,2],[2,1,2],[2,2,1]] , verify that : A^2-4A-5I=O

If A = [[-1,2,3],[5,7,9],[-2,1,1]] and B = [[-4,1,-5],[1,2,0],[1,3,1]] , then verify that (A-B)' = A' - B'

If A= [[1,2,2,],[2,1,2,],[2,2,1,]] then verify A^-1A=I

If A = [[2,3],[1,-4]], B = [[1,-2],[-1,3]] ,then verify that (AB)^-1 = B^-1A^-1

If A = [[-1,2,3],[5,7,9],[-2,1,1]] andB = [[-4,1,-5],[1,2,0],[1,3,1]] , then verify that (A+B)' = A' + B'

If A' = [[3,4],[-1,2],[0,1]] and B = [[-1,2,3],[1,2,3]] , then verify that (A - B)' = A' - B'

MODERN PUBLICATION-DETERMINANTS-EXERCISE
  1. Let A = [[1,-2,1],[-2,3,1],[1,1,5]] Verify that (A^-1)^-1 = A

    Text Solution

    |

  2. Let A be a square matrix of order 3xx3, then prove that |kA|=k|A|.

    Text Solution

    |

  3. If any two rows (or columns) of a determinant are identical, the value...

    Text Solution

    |

  4. Answer in one word. {:|(3,1,6),(5,2,10),(7,4,14)|

    Text Solution

    |

  5. If A is a square matrix of order 3 and |3A| = k|A|, then write the val...

    Text Solution

    |

  6. Write the value of the following determinant abs{:(a-b, b-c, c-a),(b-c...

    Text Solution

    |

  7. Use properties of determinants ot evaluate: {:|(2,a,abc),(2,b,bca),(...

    Text Solution

    |

  8. Use properties of determinants ot evaluate: {:|(x+y,y+z,z+x),(z,x,y)...

    Text Solution

    |

  9. Evaluate |[102,18,36],[1,3,4],[17,3,6]|

    Text Solution

    |

  10. Use properties of determinants ot evaluate: {:|(2,3,1),(4,6,2),(1,3,...

    Text Solution

    |

  11. Use properties of determinants ot evaluate: {:|(2,3,5),(261,592,127)...

    Text Solution

    |

  12. Show that x=1 is a root of the equation: {:|(x+1,2x,-11),(2x,x+1,-4...

    Text Solution

    |

  13. If p,q,r ar in A.P. write the value of : {:|(x+1,x+2,x+2p),(x+2,x+3,...

    Text Solution

    |

  14. Without expanding, prove that the following determinant vanishes. |...

    Text Solution

    |

  15. Without actual expansion, prove that the following determinants vanish...

    Text Solution

    |

  16. Without actual expansion, prove that the following determinants vanish...

    Text Solution

    |

  17. Without actual expansion, prove that the following determinants vanish...

    Text Solution

    |

  18. Without actual expansion, prove that the following determinants vanish...

    Text Solution

    |

  19. Without actual expansion, prove that the following determinants vanish...

    Text Solution

    |

  20. Without expanding, prove that Delta = abs{:(x+y, y + z, z+ x),(z, x ,...

    Text Solution

    |

  21. Without expanding, prove that : |{:(1, bc, a(b+ c) ),(1, ca, b ( c+ a)...

    Text Solution

    |