Home
Class 12
MATHS
If A is an 3xx3 non-singular matrix s...

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

A

`I+B`

B

`I`

C

`B^(-1)`

D

`(B^(-1))'`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • EXAMINATION PAPER -2013

    ML KHANNA|Exercise PAPER -II SECTION-3 (MATCHING LIST TYPE)|4 Videos

  • EXPONENTIAL AND LOGARITHMIC SERIES

    ML KHANNA|Exercise Problem Set (2) (Self Assessment Test)|8 Videos

Similar Questions

Explore conceptually related problems

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 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^(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 3xx3 non-singular matrix such that A^(-1)+(adj.A)=0," then det "(A)=

If A is a 3xx3 non-singular matrix,then |A^(-1)adj(A)| is

If A is a non-singular matrix such that (A-2I)(A-4I)=0 , then (A+ 8 A^(-1)) = .....

If A and B are both 4xx4 non-singular matrices such that A+B=0" and "|A|=2," then ":B^(-1)=

ML KHANNA-EXAMINATION PAPER-2014 (IIT-JEE-MAIN)-Multiple Choice Question
  1. Let PS be the median of the triangle with vertices P(2,2), Q(6,-1) an ...

    Text Solution

    |

  2. Let a, b, c and d be non-zero numbers. If the point of intersection...

    Text Solution

    |

  3. If the coefficients of x^3 and x^4 in the expansion of (1""+a x+b x...

    Text Solution

    |

  4. If a in R and the equation -3(x-[x])^2+""2""(x-[x])""+a^2=""0 (whe...

    Text Solution

    |

  5. If f and g are differentiable functions in [0, 1] satisfying f(0)""=""...

    Text Solution

    |

  6. The integral int(1+x-1/x)e^(x+1/x)dx is equal to (1) (x-1)e^(x+1/x)+C...

    Text Solution

    |

  7. If g is the inverse of a function f and f'(x) = 1/(1+x^(5)), then g'(x...

    Text Solution

    |

  8. If fk(x)=1/k(sinx+cos^kx) then f4(x)-f6 (x)= (A) 1/12 ...

    Text Solution

    |

  9. Let the population of rabbits surviving at a time t be governed by ...

    Text Solution

    |

  10. underset(xto0)lim(sin(picos^(2)x))/(x^(2)) is equal to

    Text Solution

    |

  11. The integral int(0)^(pi)sqrt(1+4"sin"^(2)x/2-4"sin"x/2)dx equals

    Text Solution

    |

  12. If [(vecaxxvecb, vecbxxvecc, veccxxveca)]=lamda[(veca, vecb, vecc)]^(2...

    Text Solution

    |

  13. The statement ~(pharr ~q) is

    Text Solution

    |

  14. A bird is sitting on the top of a vertical pole 20 m high and its e...

    Text Solution

    |

  15. The variance of first 50 even natural numbers is (1) (833)/4 (2...

    Text Solution

    |

  16. Let A and B be two events such that P (bar(AuuB))=1/6, P(AnnB)=1/4and ...

    Text Solution

    |

  17. If z is complex number such that |z|ge2 then the minimum value of |z+1...

    Text Solution

    |

  18. If alpha,beta!=0 , and f(n)""=alpha^n+beta^n and |3 1+f(1)1+f(2)1+f(1)...

    Text Solution

    |

  19. Let alpha and beta be the roots of equation px^(2)+qx+r=0,p!=0.If p, q...

    Text Solution

    |

  20. If A is an 3xx3 non-singular matrix such that AA^'=""A^' A and B""=...

    Text Solution

    |