Home
Class 12
MATHS
If A-^1=[3-1 1-15 6-5 5-2 2] and B=[1 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 `(A B)^(-1)dot`

Text Solution

Verified by Experts

We know that `(AB) ^( −1) =B ^( −1) A ^( −1)` .....(1)
...
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    NCERT ENGLISH|Exercise EXERCISE 5.7|17 Videos
  • DIFFERENTIAL EQUATIONS

    NCERT ENGLISH|Exercise EXERCISE 9.1|12 Videos

Similar Questions

Explore conceptually related problems

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)

If A=[1 0-2 3-1 0-2 1 1] , B=[0 5-4-2 1 3-1 0 2] and C=[1 5 2-1 1 0 0-1 1] , verify that A(B-C)=A B-A Cdot

If A=[[2 , 4 ,-1] , [-1 , 0 , 2]] , B=[[3 , 4], [-1 ,2] , [ 2 ,1]] , find (A B)^T .

If A=[(2 ,3,-5 ),(1, 2,-1)] and B=[(0, 5,1),(-2, 7, 3)] , find A+B and A-B

If A=[[1,4,-1],[2,6,5]] and B=[[3,-2,-6],[2,0,-7]] , find A+B and A-B

If A=[[3,2],[0,5]]and B=[[1,0],[1,2]] then find (A+B)(A-B)

If A=[(3, 0),(5, 1)] and B=[(-4,2),(1, 0)] Find A^(2)-2AB+B^(2)

(2) If A=[[2,3],[1,5]] then find A^(-1)

If A=[{:(1,-3,2),(2," "0,2):}]" and "B=[{:(2,-1,-1),(1," "0,-1):}] , find a matrix C such that (A+B+C) is a zero matrix.

If A'=[(-2,3),(1,3)] and B=[(-1,0),(1,2)], find [A+2B]'.

NCERT ENGLISH-DETERMINANTS-All Questions
  1. If a,b,c are in A.P, find value of |[2y+4,5y+7,8y+a],[3y+5,6y+8,9y+b],...

    Text Solution

    |

  2. Show that Delta=|((y+z)^2,xy,zx),(xy,(x+z)^2,yz),(xz,yz,(x+y)^2)|=2x y...

    Text Solution

    |

  3. Use product [1-1 2 0 2-3 3-2 4]\ \ [-2 0 1 9 2-3 6 1-2] to solve th...

    Text Solution

    |

  4. Without expanding, prove that |(a+b x, c+dx, p+q x), (a x+b, c x+d, ...

    Text Solution

    |

  5. By using properties of determinants. Show that: (i) |(x+4,2x,2x),(2x,x...

    Text Solution

    |

  6. By using properties of determinants. Show that: (i) |[a-b-c,2a,2a],[2b...

    Text Solution

    |

  7. By using properties of determinants. Show that:|[1,x,x^2],[x^2, 1,x],[...

    Text Solution

    |

  8. By using properties of determinants. Show that:|[1+a^2-b^2, 2a b,-2b],...

    Text Solution

    |

  9. By using properties of determinants. Show that:|[a^2+1,a b, a c],[ a b...

    Text Solution

    |

  10. Let A be a square matrix of order 3xx3, then |k A|is equal to (A) k|A...

    Text Solution

    |

  11. Which of the following is correct (A)   Determinant is a square matrix...

    Text Solution

    |

  12. Solve system of linear equations, using matrix method, 4x - 3y = 3" "...

    Text Solution

    |

  13. Solve system of linear equations, using matrix method, 2x - y = -2" "...

    Text Solution

    |

  14. Examine the consistency of the system of equations x + 3 y = 5" "2x + ...

    Text Solution

    |

  15. Examine the consistency of the system of equations 2x - y = 5" "x + y ...

    Text Solution

    |

  16. The cost of 4 kg onion, 3 kg wheat and 2 kg rice is Rs 60. The cost o...

    Text Solution

    |

  17. Prove that the determinant [(x,sintheta,costheta),(-sintheta,-x,1),(co...

    Text Solution

    |

  18. Find the inverse the matrix (if it exists)given in[(1,-1, 2),( 0, 2,-3...

    Text Solution

    |

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

    Text Solution

    |

  20. If A=[(3, 1),( 1, 2)], show that A^2-5A+5I=0. Hence, find A^(-1).

    Text Solution

    |