Home
Class 12
MATHS
If A=[[a,1],[1,0]] is such that A^2=I th...

If `A=[[a,1],[1,0]]` is such that `A^2=I` then a
equals

A

1

B

-1

C

0

D

2

Text Solution

Verified by Experts

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

If A = [[3,1],[-1,2]] ,show that A^2-5A + 7I=0 Hence, find A^(-1)

If A=[[1,3],[-2,4]] , then show that , A^2-5A+10I=0

If A=[(3,1),(-1,2)] . Show that A^2-5A+7I=0 Hence find A^4 and A^-1 .

If A = [(x,1),(1,0)] and A^(2) is the unit matrix, then the value of x^(3) + x - 2 is equal to

A=[[1,-3,1],[2,0,4],[1,2,-2]] Show that AxxadjA=abs[A]I

If A=[[3,-2],[4,-2]] and I=[[1,0],[0,1]] , find k so that A^2=kA-2I

If A=[[1, 0, 2],[ 0, 2, 1],[ 2, 0, 3]] , prove that A^3-6 A^2+7 A+2I=0

A=[[1,2,3],[3,-2,1],[4,2,1]] Show that A^3-23A-40I=0

If A= [(1,0),(1,1)] then A^(n)+nI is equal to a) I b)nA c)nA-I d)I+nA

If A=[(x-1,0,2,5),(3,x^(2)-2,4,1),(-1,-2,x-3,1),(2,0,4,x^(2)-6)] and if Tr (A) = 0, then x is equal to

BODY BOOKS PUBLICATION-DETERMINANTS-EXERCISE
  1. if A=[[1,-1,2],[0,2,-3],[3,-2,4]] B=[[-2,0,1],[9,2,-3],[6,1,-2]] Prov...

    Text Solution

    |

  2. if A=[[1,-1,2],[0,2,-3],[3,-2,4]] B=[[-2,0,1],[9,2,-3],[6,1,-2]] ...

    Text Solution

    |

  3. If A=[[a,1],[1,0]] is such that A^2=I then a equals

    Text Solution

    |

  4. Solve the system of equations x-y+z=4,2x+y-3z=0,x+y+z=2 Using matr...

    Text Solution

    |

  5. The value of abs((x,x-1) , (x+1,x):} is a)1 b)x c)x^2d)0

    Text Solution

    |

  6. Using properties of determinants prove the following. abs[[1,x,x^2...

    Text Solution

    |

  7. Prove that |(1,x,x^3),(1,y,y^3),(1,z,z^3)|=(x+y+z)(x-y)(y-z)(z-y).

    Text Solution

    |

  8. Prove that abs[[1!,2!,3!],[2!,3!,4!],[3!,4!,5!]]=4!

    Text Solution

    |

  9. Solve the system of Linear equations x+2y+z=8,2x+y-z=1,x-y+z=2

    Text Solution

    |

  10. Inverse of the matrix [[0,1,2],[0,1,1],[1,0,2]]

    Text Solution

    |

  11. Find the values of x in which abs[[3,x],[x,1]]=abs[[3,2],[4,1]]

    Text Solution

    |

  12. Using the property of determinants,show that the points A(a,b+c),B(b...

    Text Solution

    |

  13. Examine the consistency of system of following equations: 5x-6y+4z...

    Text Solution

    |

  14. Let B is a square matrix of order 5, then abs[kB] is equal to….

    Text Solution

    |

  15. Prove that abs[[1,x,x^2],[1,y,y^2],[1,z,z^2]]=(x-y)(y-z)(z-x)

    Text Solution

    |

  16. Check the consistency of the following equations, 2x+3y+z=6,x+2y-z...

    Text Solution

    |

  17. If abs[[x,3],[5,2]]=5,then x=…..

    Text Solution

    |

  18. By using properties of determinants, prove that |[y+k,y,y],[y,y+k,y],...

    Text Solution

    |

  19. Solve the following system of linear Equations,using matrix method, ...

    Text Solution

    |

  20. Find values of x if i) |[2 , 4],[ 5, 1]|=|[2 x, 4], [6, x]| ii) ...

    Text Solution

    |