Home
Class 12
MATHS
If A= B+C such that B is a symmetric mat...

If `A= B+C` such that B is a symmetric matrix and C is a skew - symmetric matrix , then B is given by :

A

`A+A^prime`

B

`A-A^prime`

C

`12(A+A^prime)`

D

12(A-A^prime)

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    HIMALAYA PUBLICATION|Exercise Question Bank|97 Videos

  • MAXIMA AND MINIMA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|167 Videos

Similar Questions

Explore conceptually related problems

Define a skew-symmetric matrix.

Define a symmetric matrix.

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

If A is symmetric as well as skew-symmetric matrix, then A is

If A and B are symmetric matrices, prove that AB-BA is a skew symmetric matrix.

If A and B are square matrices of same order and B is a skew symmetric matrix, then A'BA is Skew symmetric matrix

If A is a skew-symmetric matrix and n is odd positive integer, then A^n is

HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
  1. If A= [[0,-2,3],[2,0,-1],[-3,1,0]] then A^5 is

    Text Solution

    |

  2. If A=[[3,-4],[2,3]] then A-A^ prime is

    Text Solution

    |

  3. If A= B+C such that B is a symmetric matrix and C is a skew - symmet...

    Text Solution

    |

  4. Let A and B be 3xx3 matrices such that A' = - A , B ' = B , then matri...

    Text Solution

    |

  5. If A and B are non singular square matrices of same order, then which ...

    Text Solution

    |

  6. If A,B are square matrices of order 3 , then :

    Text Solution

    |

  7. If A=[[a,b],[c,d]], then adj(adj A)=

    Text Solution

    |

  8. If A=[[4,-1],[-1,3]], then A . adj A=

    Text Solution

    |

  9. Let A be a square matrix with real entries, such that A^97=A^-1 . Then

    Text Solution

    |

  10. If ((1,-tan theta ),(tan theta,1))((1,tan theta ),(-tan theta ,1))^(-1...

    Text Solution

    |

  11. If A = [(2,3),(1,-2)] and A^(-1) = alpha A , then the value of alpha...

    Text Solution

    |

  12. For a square matrix A and a non singular matrix B of the same order ,...

    Text Solution

    |

  13. If A and B are two square matrices of the same order such that AB=B an...

    Text Solution

    |

  14. If A=[[x,1],[1,0]]and A^2=I, then A^-1 =

    Text Solution

    |

  15. If A= [[-2,2],[3,1]] then 8A^-1=

    Text Solution

    |

  16. The inverse of the matrix A= [[0,1,0],[1,0,0],[0,0,1]] is A

    Text Solution

    |

  17. If the matrix A=[[8,-6,2],[-6,7,-4],[2,-4,lambda]] is singular, then l...

    Text Solution

    |

  18. If A= [[3,-3,4],[2,-3,4],[0,-1,1]]then

    Text Solution

    |

  19. If A=[[3,-2],[1,2]] and A^2+k A+8 I=0, then k=

    Text Solution

    |

  20. If A=[[1,0],[-1,7]] and A^2-8 A+k I=0, then k=

    Text Solution

    |