Home
Class 12
MATHS
If A^(-1)=[[3,-1,1],[-15,6,-5],[5,-2,2]]...

If `A^(-1)=[[3,-1,1],[-15,6,-5],[5,-2,2]]` and `B=[[1,2,-2],[-1,3,0],[0,-2,1]]`find`(AB)^-1`

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    BODY BOOKS PUBLICATION|Exercise EXERCISE|148 Videos

  • DIFFERENTIAL EQUATIONS

    BODY BOOKS PUBLICATION|Exercise EXERCISE|5 Videos

Similar Questions

Explore conceptually related problems

A=[[1,-3,1],[2,0,4],[1,2,-2]] Find abs[3A]

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)^T=A^T +B^T

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)^T = A^T-B^T

Let A=[[2,1,3],[4,1,0]] and B=[[1,-1],[0,2],[5,0]] Find AB

If A=[[2,-3,5],[3,2,-4],[1,1,-2]] Find abs[A]

A=[[2,3],[4,5],[2,1]] B=[[1,-2,3],[-4,2,5]] Find AB

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 (i) (A+B)^'=A^'+B^'

If A^T=[[-2,3],[1,2]] and B^T = [[-1,0],[1,2]] then find (A+2B)^T

Find the matrices A and B if 2A+3B=[[1,2,-1],[0,2,1],[1,2,4]] and A+2B=[[2,0,1],[1,1,2],[3,1,2]]

if A=[[1,-1,2],[0,2,-3],[3,-2,4]] B=[[-2,0,1],[9,2,-3],[6,1,-2]] Prove that B=A^-1

BODY BOOKS PUBLICATION-DETERMINANTS-EXERCISE
  1. If A=[(1,2,-3),(2,3,2),(3,-3,-4)] find A^-1.

    Text Solution

    |

  2. If A=[(1,2,-3),(2,3,2),(3,-3,-4)] Solve the system of linear equations...

    Text Solution

    |

  3. If A^(-1)=[[3,-1,1],[-15,6,-5],[5,-2,2]] and B=[[1,2,-2],[-1,3,0],[0,-...

    Text Solution

    |

  4. Ifabs[[1,-3,2],[4,-1,2],[3,5,2]]=40,thenabs[[1,4,3],[-3,-1,5],[2,2,2]]...

    Text Solution

    |

  5. Show that Delta=abs[[-a^2,ab,ac],[ba,-b^2,bc],[ac,bc,-c^2]]=4a^2b^2c^2

    Text Solution

    |

  6. Let the value of a determinant is Delta. Then the value of a determi...

    Text Solution

    |

  7. Show that abs[[a+b,b+c,c+a],[b+c,c+a,a+b],[c+a,a+b,b+c]]=2abs[[a,b,c],...

    Text Solution

    |

  8. The value of the determinant |(sin10,-cos10),(sin50,cos50)| is a)-1 b)...

    Text Solution

    |

  9. Using properties of determinants, show that abs[[a,a^2,b+c],[b,b^2...

    Text Solution

    |

  10. Choose the correct answer from the bracket.The value of the determin...

    Text Solution

    |

  11. Consider abs[[a,a+b,a+b+c],[2a,3a+2b,4a+3b+2c],[3a,6a+3b,10a+6b+3c]]

    Text Solution

    |

  12. Choose the correct answer from the bracket.Consider a sqare matrix o...

    Text Solution

    |

  13. Verify A(adjA)=(adjA)A=abs[A]I for the matrix A=[[5,-2],[3,-2]]that,...

    Text Solution

    |

  14. Choose the correct answer from the bracket. If A=[(cosx,sinx),(-sinx,c...

    Text Solution

    |

  15. Find the inverse of the following A=[[1,-1,2],[0,2,-3],[3,-2,4]]

    Text Solution

    |

  16. If A=[[2,3],[1,-2]] and A^-1=kA,then the value of 'k' is

    Text Solution

    |

  17. If A=[[1,-1,1],[2,-1,0],[1,0,0]], Find A^2

    Text Solution

    |

  18. If A=[[1,-1,1],[2,-1,0],[1,0,0]], Show that A^2=A^-1

    Text Solution

    |

  19. Choose the correct answer. If each element of a third order square mat...

    Text Solution

    |

  20. Consider the matrix A=[(-8,5),(2,4)] Show that 'A' satisfies the equat...

    Text Solution

    |