Home
Class 12
MATHS
If A=[(2,-3),(-4,7)] compute A^(-1) and ...

If `A=[(2,-3),(-4,7)]` compute `A^(-1)` and show that `2A^(-1) + A-9I =0`

Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    PRADEEP PUBLICATION|Exercise EXERCISE|342 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    PRADEEP PUBLICATION|Exercise EXERCISE|788 Videos

  • DIFFERENTIAL EQUATIONS

    PRADEEP PUBLICATION|Exercise EXERCISE|507 Videos

Similar Questions

Explore conceptually related problems

Given A= [(2,-3),(-4,7)] , compute A^(-1) and show that 2A^(-1) = 9I-A .

If A = [(2, -2),(-3,1)] , then show that ( A + I) ( A - 4 I) = O

If A = {:[(1,2,3),(3,-2,1),(4,2,1)] , then show that : A^2 - 23 A - 40 I ne O

If A = [(2,3),(-1,2)] f(x) = x^(2) - 4x + 7 show that f(A) = 0

If A = [(2,3),(-1,2)] , then show that A^2- 4 A + 7 I = O . Hence, evaluate A^5.

Find the inverse of A = [(2,1,3),(4,-1,0),(-7,2,1)] and verify that A^-1 A = I_3 = A A^-1 .

Let A = {:[(2,3),(-1,2)] . Then show that A^2 - 4A + 7I = O .

If A = [(2,3),(4,5)] show that A^2-7AI-2 =0 hence find A^(-1)

If A = [(5,2),(-1,2)] and I = [(1,0),(0,1)] show that (A - 3I) (A - 4I) = 0

PRADEEP PUBLICATION-DETERMINANTS-EXERCISE
  1. Find the inverse of the matrix A = {:[(a,b),(c,(1+bc)/a)] and show tha...

    Text Solution

    |

  2. For the matrix A=[{:(3,2),(1,1):}], find the numbers a and b such that...

    Text Solution

    |

  3. If A=[(2,-3),(-4,7)] compute A^(-1) and show that 2A^(-1) + A-9I =0

    Text Solution

    |

  4. Find A^(-1) if A=[(0,1,1),(1,0,1),(1,1,0)] and show that A^(-1)=(A^2-3...

    Text Solution

    |

  5. Show that A = [(-8,5),(2,4)] satsfies the equation x^2 + 4x - 42= 0. H...

    Text Solution

    |

  6. If A = [(2,3,3),(3,2,3),(3,3,2)], then show that A^2 - 7A - 8I = O

    Text Solution

    |

  7. Find the matrix X satisfying X [(5,3),(-1,-2)]=[(14,7),(7,7)]

    Text Solution

    |

  8. Find the matrix X satisfying. [(3,2),(7,5)] X [(-1,1),(-2,1)] = [(2,...

    Text Solution

    |

  9. Find the matrix X satisfying. [(2,1),(5,3)] X [(5,3),(3,2)] = [(1,0)...

    Text Solution

    |

  10. Find the matrix X satisfying. [(2,1),(3,2) X [(-3,2),(5,-3)] = [(1,0...

    Text Solution

    |

  11. If A = [(6,-7, 8),(1,-3,1),(2,1,-4)], compute det (adj A).

    Text Solution

    |

  12. If A = [(3,2,2),(2,3,2),(2,2,3)], find adj (Adj A)

    Text Solution

    |

  13. If A = [(1,0,2),(0,2,1),(2,0,3)], find A (adj A)

    Text Solution

    |

  14. Prove that |(bc-a^2, ca-b^2, ab-c^2),(ca-b^2, ab-c^2, bc-a^2),(ab-c^2,...

    Text Solution

    |

  15. Using matrix method solve the following systems of equations: (3x + ...

    Text Solution

    |

  16. Using matrix method solve the following systems of equations: {:(3x ...

    Text Solution

    |

  17. Using matrix method solve the following systems of equations: {:(2x ...

    Text Solution

    |

  18. Using Cramers, rule solve the following system of equations: {:(5x +...

    Text Solution

    |

  19. Using Cramers, rule solve the following system of equations: {:(3x +...

    Text Solution

    |

  20. Using Cramers, rule solve the following system of equations: {:(x-2y...

    Text Solution

    |