Home
Class 12
MATHS
If A is skew-symmetric matrix, then trac...

If A is skew-symmetric matrix, then trace of A is

A

1

B

`-1`

C

0

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MATRICES & DETERMINANT

    RESONANCE|Exercise PART-III|21 Videos

  • MATRICES & DETERMINANT

    RESONANCE|Exercise EXERCISE-2|20 Videos

  • MATRICES & DETERMINANT

    RESONANCE|Exercise SECTION-D|17 Videos

  • INDEFINITE INTEGRATION

    RESONANCE|Exercise SELF PRACTIC PROBLEMS|25 Videos

  • NUMBER THEORY

    RESONANCE|Exercise Exercise -2 (PART - II)|4 Videos

Similar Questions

Explore conceptually related problems

If A is a skew- symmetric matrix, then trace of A is: 1.) 1 2.) -1 3.) 0 4.)none of these

If A is a 3xx3 skew-symmetric matrix,then trace of A is equal to -1 b.1 c.|A| d.none of these

If A is skew symmetric matrix, then I - A is (where I is identity matrix of the order equal to that of A)

If A is a skew-symmetric matrix, then A^(2) is a .................

If A is skew-symmetric matrix then A^(2) is a symmetric matrix.

If A, B are square matrices of same order and B is skew-symmetric matrix, then show that A'BA is skew -symmetric.

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

If Ais symmetric and B is skew-symmetric matrix, then which of the following is/are CORRECT ?

If B is a skew-symmetric matrix,write whether the matrix ABA^(T) is symmetric or skew-symmetric.

If B is a skew-symmetric matrix,write whether the matrix ABA^(T) is symmetric or skew-symmetric.

RESONANCE-MATRICES & DETERMINANT-PART-II
  1. A matrix A=[a(ij)] is an upper triangular matrix, if

    Text Solution

    |

  2. If A=diag(2,-1,3), B=diag(-1,3,2)then A^(2)B

    Text Solution

    |

  3. If A is skew-symmetric matrix, then trace of A is

    Text Solution

    |

  4. Let A=[{:p q q p:}] such that det(A)=r where p,q,r all prime number, t...

    Text Solution

    |

  5. Let A=[(0,1),(2,0)] and (A^(8)+A^(6)+A^(2)+I)V=[(32),(62)] where V i...

    Text Solution

    |

  6. Let A=[{:(,3x^(2)),(,1),(,6x):}], B=[a,b,c] and C=[{:(,(x+2)^(2),5x^(2...

    Text Solution

    |

  7. Let A be an involutary matrix and S be the set containing solution of ...

    Text Solution

    |

  8. If A is a diagonal matrix of order 3xx3 is commutative with every squa...

    Text Solution

    |

  9. A is a (3xx3) diagonal matrix having integral entries such that det (A...

    Text Solution

    |

  10. If |{:(,b+c,c+a,a+b),(,c+a,a+b,b+c),(,a+b,b+c,c+a):}|ge 0, "where a ,b...

    Text Solution

    |

  11. If a1, a2, a3,54,a6,a7, a8, a9 are in H.P., and D=|a1a2a3 5 4a6a7a8a9|...

    Text Solution

    |

  12. If |{:(,a+b+2c,a,b),(,c,b+c+2a,b),(,c,a,c+a+2b):}|=k(alphaa+betab+gamm...

    Text Solution

    |

  13. If A is a square matrix of order 3 and A' denotes transpose of matrix ...

    Text Solution

    |

  14. se A is a matrix such that A^2 =A and (I + A)^6 =1+ KA, then k is

    Text Solution

    |

  15. |[-bc, b^2+bc, c^2 +bc],[a^2+ac,-ac,c^2+ac],[a^2+ab,b^2+ab,-ab]|=64. t...

    Text Solution

    |

  16. If f(x)=|{:(,1+sin^(2)x,cos^(2)x,4sin2x),(,sin^(2)x,1+cos^(2)x,4sin2x)...

    Text Solution

    |

  17. If Un=|(n,1,5),(n^2, 2N+1,2N+1),(n^3,3N^2,3N+1)|, then sum(n=1)^NUn is...

    Text Solution

    |

  18. The value of a for which system of equation , a^3x+(a+1)^3y+(a+2)^3z=0...

    Text Solution

    |

  19. Consider the system linear equations in x ,y ,a n dz given by (s in3th...

    Text Solution

    |

  20. The value of k for which the set of equations 3x+ky-2z=0, x + ky + 3z ...

    Text Solution

    |