Home
Class 12
MATHS
If A is a squqre matrix such that A^(2)=...

If A is a squqre matrix such that `A^(2)=l`, then `A^(-1)` is equal to

A

2A

B

A

C

O

D

`A+I`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    MOTION|Exercise Exercise - 2(Level-I) (Single correct Option - type Questions)|7 Videos

  • MATRICES

    MOTION|Exercise Exercise - 2(Level-II) (Multiple correct Option - type Questions)|7 Videos

  • MATRICES

    MOTION|Exercise Exercise - 4 (Level-II)|28 Videos

  • LIMIT

    MOTION|Exercise EXERCISE-4|17 Videos

  • MAXIMA AND MINIMA

    MOTION|Exercise EXERCISE - 4 (LEVEL - II)|17 Videos

Similar Questions

Explore conceptually related problems

if A is a square matrix such that A^(2)=A, then det (A) is equal to

If A square matrix such that A^2 = A , then (l+A )^3 -7A is equal to :

If A is a square matrix such that A^(3) =I then the value of A^(-1) is equal to

If A is a square matrix such that A^(2)=l where l is the identity matrix, then what is the value of A^(-1) ?

If a matrix A is such that 3A^(3)+2A^(2)+5A+I=0, then A^(-1) is equal to

If a square matrix A is such that "AA"^(T)=l=A^(T)A , then |A| is equal to

If A is a square matrix and |A|!=0 and A^(2)-7A+I=0 ,then A^(-1) is equal to (I is identity matrix)

If A is a non singular matrix and I is a unit matrix of order same as A such that A^(2)+A-I=O , then A^(-1) is equal to

MOTION-MATRICES -Exercise - 1
  1. If A=[(ab,b^2),(-a^2,-ab)], then A is

    Text Solution

    |

  2. A = [[2,-1],[-7,4]] & B =[[4,1],[7,2]] then B^TA^T is :

    Text Solution

    |

  3. If a non-singular matrix and A^(T) denotes the tranpose of A, then

    Text Solution

    |

  4. If A is skew-symmetric matrix, then trace of A is

    Text Solution

    |

  5. If A and B are symmetric matrices, then A B A is

    Text Solution

    |

  6. If A is a skew-symmetric matrix and n is an even natural number,...

    Text Solution

    |

  7. Which one of the following is wrong ?

    Text Solution

    |

  8. [{:(,1,2),(,2,1):}],[{:(,1,2),(,2,1):}]

    Text Solution

    |

  9. If A=[(costheta,-sintheta,0),(sintheta,costheta,0),(0,0,1)], then adj ...

    Text Solution

    |

  10. If A is a squqre matrix such that A^(2)=l, then A^(-1) is equal to

    Text Solution

    |

  11. If A=[(3,-3,4),(2,-3,4),(0,-1,1)], then :

    Text Solution

    |

  12. If A = [[1,2],[3,-5]] and B=[[1,0],[0,2]] and X is a matrix such that ...

    Text Solution

    |

  13. Given A=[(1,3),(2,2)],I=[(1,0),(0,1)]. If A-lambdaI is a singular mat...

    Text Solution

    |

  14. From the matrix equation AB = AC we can conclude B = C provided that

    Text Solution

    |

  15. If A^2-A+I=0, then the invers of A is

    Text Solution

    |

  16. Which of the following is incorrect

    Text Solution

    |

  17. If A is a square matrix of order 3, then the true statement is (where ...

    Text Solution

    |

  18. Let {:A=[(0,0,-1),(0,-1,0),(-1,0,0)]:}. The only correct statement abo...

    Text Solution

    |

  19. Let A and B be matrices of order 3 xx 3. If AB = 0, then which of the ...

    Text Solution

    |

  20. Which of the following statements is incorrect for a square matrix A?...

    Text Solution

    |