Home
Class 12
MATHS
If I(3) is identity matrix of order 3, t...

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

A

O

B

`3I_(3)`

C

`I_(3)`

D

Not necessarily exists

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    ML KHANNA|Exercise PROBLEM SET(1) (ASSERTION /REASON)|3 Videos

  • MATRICES

    ML KHANNA|Exercise PROBLEM SET(1) (TRUE AND FALSE)|9 Videos

  • MATRICES

    ML KHANNA|Exercise EXAMPLE|4 Videos

  • MATHEMATICAL REASONING

    ML KHANNA|Exercise PROBLEM SET (2) ASSERTION/REASON|3 Videos

  • MAXIMA AND MINIMA

    ML KHANNA|Exercise MISCELANEOUS EXERCISE (COMPREHENSION)|3 Videos

Similar Questions

Explore conceptually related problems

If I_3 is the identily matrix of order 3, then (I_3)^(-1)=

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

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 I_n is the identity matrix of order n then (I_n)^-1 (A) does not exist (B) =0 (C) =I_n (D) =nI_n

If B_(0)=[(-4, -3, -3),(1,0,1),(4,4,3)], B_(n)=adj(B_(n-1), AA n in N and I is an identity matrix of order 3, then B_(1)+B_(3)+B_(5)+B_(7)+B_(9) is equal to

If I is unit matrix of order n, then 3I will be

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

If I_3 denotes identity matrix of order 3xx3 , write the value of its determinant.

If A=[010001pqr] and I is the identity matrix of order 3, show that A^(3)=pI+qA+rA^(2)

ML KHANNA-MATRICES-PROBLEM SET(1) (MULTIPLE CHOICE QUESTIONS)
  1. If A=[{:(cos alpha, sin alpha),(-sin alpha, cos alpha):}], then what i...

    Text Solution

    |

  2. If A=[(-1,-2,-2),(2,1,-2),(2,-2,1)] the adj. A=

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. If A and B are square matrices of order 3 such that |A|=-1,|B|=3, the ...

    Text Solution

    |

  6. If reach element of a 3xx3 matrix is multiplied by 3, then the determi...

    Text Solution

    |

  7. If B is a non singular matrix and A is a square matrix, the det(B^(-1)...

    Text Solution

    |

  8. Matrix A(lamda)=[(lamda, lamda-1),(lamda-1,lamda)], lamda in N The v...

    Text Solution

    |

  9. If A is a square matrix such that |A|=2, then |A'|, where A' is transp...

    Text Solution

    |

  10. If A=[(a,b),(c,d)] such that ad-bc!=0, then A^(-1) is equal to

    Text Solution

    |

  11. Which of the following matrices is not invertible

    Text Solution

    |

  12. The system of linear equations ax+by=0,cx+dy=0, has a non trivial solu...

    Text Solution

    |

  13. If A=[(1,-6,2),(0,-1,5)] and B=[(2),(2),(1)] then AB equals

    Text Solution

    |

  14. If A=[(1,0,0),(0,1,0),(0,0,1)] then A^(2)+2A equals

    Text Solution

    |

  15. If A=[(1,1,1),(1,1,1),(1,1,1)] then A^(2)=

    Text Solution

    |

  16. If [(alpha, beta),(gamma,-alpha)] is to be square root of the two rowe...

    Text Solution

    |

  17. If A=[(a,b),(b,a)] and A^(2)=[(alpha, beta),(beta, alpha)]then (alpha,...

    Text Solution

    |

  18. If A= (a(ij)) is a 4xx4 matrix and C(ij), is the co-factor of the ele...

    Text Solution

    |

  19. If A is a square matrix such that A^(2)=A, then |A| equals

    Text Solution

    |

  20. If A^(2)+A=I then A^(-1) is

    Text Solution

    |