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

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

Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 2019

    XII BOARD PREVIOUS YEAR PAPER ENGLISH|Exercise Section D|2 Videos

Similar Questions

Explore conceptually related problems

If A=[(1,2),(2,1)] show that A^(2)-3I=2A

(i) if A=[{:(4,-1,-4),(3,0,-4),(3,-1,-3):}], then show that A^(2)=I

If A+I={:[(2,2,3),(3,-1,1),(4,2,2)]:} then show that A^(3)-23A-40I=0

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

If A=[(3, 2, 0),( 1, 4 ,0 ),(0 ,0 ,5)] , show that A^2-7A+10 I=O .

if A[{:(2,-3,-5),(-1,4,5),(1,-3,-4):}]and B=[{:(2,-2,-4),(-1,3,4),(1,-2,-3):}], then show that (i) AB=A and BA=B.

If A=[(1, 2, 0 ),(3,-4, 5),( 0,-1, 3)] , compute A^2-4A+3I .

If A=[{:(1,2,2),(2,1,2),(2,2,1):}] , then show that A^(2)-4A-5I_(3)=0 . Hemce find A^(-1) .

If A=[[2,4],[-5,-1]] show that: |3A|=9|A|

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

XII BOARD PREVIOUS YEAR PAPER ENGLISH-XII Boards-All Questions
  1. If y=e^(tan^-1x), prove that (1+x^2)y2+(2x-1)y1=0

    Text Solution

    |

  2. Find int e^(2x) sin (3x + 1) dx

    Text Solution

    |

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

    Text Solution

    |

  4. Differentiate tan^(-1)((1+cosx)/sinx) with respect to x

    Text Solution

    |

  5. Find the value of tan^(-1) sqrt3 - cot^(-1) (-sqrt3)

    Text Solution

    |

  6. The total cost C(x) in Rupees, associated with the production of x ...

    Text Solution

    |

  7. Integrate the functions (cos2x+2sin^2x)/(cos^2x)

    Text Solution

    |

  8. Find the differential equation representing the family of curves y=ae^...

    Text Solution

    |

  9. If the matrix A = [[0,a,-3],[2,0,-1],[b,1,0]] is skew symmetric, find ...

    Text Solution

    |

  10. If theta is the angle between two vectors hati-2hatj+3hatk and 3hati-2...

    Text Solution

    |

  11. Find the magnitude of each of the two vectors veca and vec b having th...

    Text Solution

    |

  12. A black and a red dice are rolled. (a)   Find the conditional proba...

    Text Solution

    |

  13. Using properties of determinants prove that |(1,1, 1+3x),(1+3y,1,1),(1...

    Text Solution

    |

  14. Find (dy)/dx, if (x^2+y^2)^2=xy

    Text Solution

    |

  15. If a * b, denoted the larger of 'a' and 'b' and if a o b = a*b + 3 , ...

    Text Solution

    |

  16. If x=a(2theta-sin2theta) and y=a(1-cos2theta) find (dy)/(dx) when thet...

    Text Solution

    |

  17. If y="sin"(sinx),"p r o v et h a t" (d^2y)/(dx^2)+tanx(dy)/(dx)+yco...

    Text Solution

    |

  18. Prove that: 3sin^(-1)x=sin^(-1)(3x-4x^3), x in [-1/2,1/2]

    Text Solution

    |

  19. Find the area of the region in the first quadrant enclosed by the x...

    Text Solution

    |

  20. Find the equations of the tangent and the normal to the curve 16x^2+9y...

    Text Solution

    |