Home
Class 12
MATHS
If A is an 3x3 non-singular matrix such ...

If `A` is an `3x3` non-singular matrix such that `AA^(prime)-A^(prime)A a n dB=A^(-1)A^(prime),` then `B B '` equals: `B^(-1)` (b) `(B^(-1))'` (c) `I+B` (d) `I`

A

`B^(-1)`

B

`(B^(-1))`

C

`1+B`

D

1

Text Solution

Verified by Experts

The correct Answer is:
d
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    TARGET PUBLICATION|Exercise EVALUATION TEST|13 Videos

  • MATRICES

    TARGET PUBLICATION|Exercise CRITICAL THINKING (2.3 Application of matrices)|5 Videos

  • MATHEMATICAL LOGIC

    TARGET PUBLICATION|Exercise EVALUATION TEST|14 Videos

  • MHT-CET 2019 QUESTION PAPER

    TARGET PUBLICATION|Exercise Binomial Distribution|1 Videos

Similar Questions

Explore conceptually related problems

If A is an 3xx3 non-singular matrix such that A A^(prime)=A^(prime)A a n dB=A^(-1)A^(prime), then B B ' equals: (a) B^(-1) (b) (B^(-1))' (c) I+B (d) I

If A is a 3 xx 3 non-singular matrix such that A A^(T) = A^(T)A " and "B = A^(-1)A^(T), " then "B B^(T) is equal to

If A is an 3xx3 non-singular matrix such that A A^' = A^' A and B""=""A^(-1)A^' , then BB^' equals (1) I""+""B (2) I (3) B^(-1) (4) (B^(-1))^'

If A is an 3xx3 non-singular matrix such that A A^T=A^TA and B=A^(-1)A^T," then " B B^T equals

If A is a non-singular matrix such that AA^(T)=A^(T)A and B=A^(-1)A^(T), the matrix B is a.involuntary b.orthogonal c.idempotent d. none of these

If A and B are two non-singular matrices of order 3 such that A A^(T)=2I and A^(-1)=A^(T)-A . Adj. (2B^(-1)) , then det. (B) is equal to

TARGET PUBLICATION-MATRICES-COMPETITIVE THINKING (Inverse off a matrix )
  1. If for the matrix A ,\ A^3=I , then A^(-1)= A^2 (b) A^3 (c) A (d) non...

    Text Solution

    |

  2. If A^(2) - A + I = 0 then A^(-1) is equal to

    Text Solution

    |

  3. If A and B are two square matrices such that B=-A^(-1)BA, then (A+B)^(...

    Text Solution

    |

  4. If A and B are square matrices of the same order and A is non-singular...

    Text Solution

    |

  5. Let for any matrix M,M^(-1) exists, which of the followint is not true...

    Text Solution

    |

  6. If A=[(2,2),(-3,2)], B=[(0,-1),(1,0)] then (B^(-1)A^(-1))^(-1) is equa...

    Text Solution

    |

  7. IF A =[(1,2,3),(-1,1,2),( 1,2,4)]"then " (A^(2) -5A) A^(-1)=

    Text Solution

    |

  8. If [(1,1),(-1,1)] [(x),(y)]=[(2),(4)], then the values of x and respec...

    Text Solution

    |

  9. If [(1,2,-3),(0,4,5),(0,0,1)][(x),(y),(z)]=[(1),(1),(1)], then (x, y, ...

    Text Solution

    |

  10. The solutiion of (x,y,z) the equation [(-1,0,1),(-1,1,0),(0,-1,1)][(x)...

    Text Solution

    |

  11. If [{:(1,1,1),(1,-2,-2),(1,3,1):}][{:(x),(y),(z):}]=[{:(0),(3),(4):}],...

    Text Solution

    |

  12. If [(1,3,3),(1,4,4),(1,3,4)][(x),(y),(z)]=[(12),(15),(13)] , then the ...

    Text Solution

    |

  13. Let M be a 3xx3 matrix satisfying M[0 1 0]=M[1-1 0]=[1 1-1],a n dM[1 1...

    Text Solution

    |

  14. Let A = [(1,0,0), (2,1,0), (3,2,1)], and U1, U2 and U3 are columns of ...

    Text Solution

    |

  15. If A=[(cos theta,sin theta,0),(-sin theta,cos theta,0),(0,0,1)], where...

    Text Solution

    |

  16. If A=[(1,tan(theta/2)),(-tan(theta/2),1)] and AB=I, then B= (A) {cos^2...

    Text Solution

    |

  17. Let F(alpha)=[cosalpha-s inalpha0s inalphacosalpha0 0 0 1],w h e r eal...

    Text Solution

    |

  18. If A=[(cos alpha, -sin alpha, 0),(sin alpha, cos alpha,0),(0,0,1)] the...

    Text Solution

    |

  19. If A is an 3x3 non-singular matrix such that AA^(prime)-A^(prime)A a n...

    Text Solution

    |

  20. Let Ma n dN be two 3xx3 non singular skew-symmetric matrices such that...

    Text Solution

    |