Home
Class 12
MATHS
If A is a identity matrix of order 3, th...

If A is a identity matrix of order 3, then its inverse `(A^(-1))`

A

is qual to null matrix

B

is equal to A

C

is equal to 3A

D

does not exist

Text Solution

Verified by Experts

The correct Answer is:
B

Given, A is an identity matrix.
`therefore A = I`
We know, `I^(-1) = I`
`therefore A^(-1) = A`
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRATION

    NDA PREVIOUS YEARS|Exercise MCQ|59 Videos
  • PAIR OF STRAIGHT LINES

    NDA PREVIOUS YEARS|Exercise Example|12 Videos

Similar Questions

Explore conceptually related problems

If I_3 is the identity matrix of order 3 then I_3^-1 is (A) 0 (B) 3I_3 (C) I_3 (D) does not exist

If A=[(1,0),(-1,7)] and l is an identity matrix of order 2, then the value of k, if A^(2)=8A+kI , is :

If I_(3) is identity matrix of order 3, then I_(3)^(-1)=

If I_(n) is the identity matrix of order n then (I_(n))^(-1)=

If A=[[2,-1-1,2]] and I is the identity matrix of order 2, then show that A^(2)=4a-3I Hence find A^(-1).

If A= [[1,2],[-3,-4]] and l is the identity matrix of order 2 then A^(2) equals "

Which of the following statements is/are true about square matrix A or order n?(-A)^(-1) is equal to -A^(-1) when n is odd only If A^(n)-O, then I+A+A^(2)+...+A^(n-1)=(I-A)^(-1) If A is skew-symmetric matrix of odd order,then its inverse does not exist.(A^(T))^(-1)=(A^(-1))^(T) holds always.

" .If "A=[[1,2],[-3,-4]]" and "l" is the identity matrix of order "2," then "A^(2)" equals "

NDA PREVIOUS YEARS-MATRICES & DETERMINANTS-MQS
  1. Which one of the following factors does the expansions of the determin...

    Text Solution

    |

  2. What is the adjoint of the matrix ({:(cos(-theta)-sin(-theta)),(-sin(-...

    Text Solution

    |

  3. If A and B are two invertible matrices of same order, the (AB)^-1 is (...

    Text Solution

    |

  4. If a+b+c=0, one root of |a-x c b c b-x a b a c-x|=0 is x=1 b. x=2 c. ...

    Text Solution

    |

  5. What should be the value of x so that the matrix ({:(2,4),(-8,x):}) d...

    Text Solution

    |

  6. The system of equation 2x + y - 3z = 5 3x-2y+2z=5 and 5x-3y-z=16

    Text Solution

    |

  7. If u, v and w (all positive) are the p^(th), q^(th) and r^(th) terms o...

    Text Solution

    |

  8. Consider the following in respect of matrices A, B and C of same order...

    Text Solution

    |

  9. Let matrix B be the adjoint of a square matrix A, l be the identity ma...

    Text Solution

    |

  10. What is the determinant of the matrix ({:(x,y,y+z),(z,x,z+x),(y,z,x+y)...

    Text Solution

    |

  11. If A, B and C are the angles of a triangle and |(1,1,1),(1 + sin A,1...

    Text Solution

    |

  12. Consider the following in respect of matrices A and B of same order : ...

    Text Solution

    |

  13. What is the area of the triangle with vertices (x(1),(1)/(x(1))),(x(2)...

    Text Solution

    |

  14. If B = [{:(3,2,0),(2,4,0),(1,1,0):}], then what is adjoint of B equal ...

    Text Solution

    |

  15. If A = [{:(0,1),(1,0):}], then the matrix A is/an

    Text Solution

    |

  16. If A is a identity matrix of order 3, then its inverse (A^(-1))

    Text Solution

    |

  17. A is a square matrix of order 3 such that its determinant is 4. What i...

    Text Solution

    |

  18. If A is square matrix of order n gt 1, then which one of the following...

    Text Solution

    |

  19. Let A and B be (3 xx 3) matrices with det A = 4 and det B = 3. What ...

    Text Solution

    |

  20. Let A and B be (3 xx 3) matrices with det A = 4 and det B = 3. What ...

    Text Solution

    |