Home
Class 12
MATHS
If A, B are symmetric matrices of same o...

If A, B are symmetric matrices of same order, then find `AB-BA`.

Promotional Banner

Topper's Solved these Questions

  • MATRICES DETERMINANTS PROBABILITY

    USHA PUBLICATION|Exercise EXERCISE|59 Videos
  • PRACTICE PAPER

    USHA PUBLICATION|Exercise PRACTICE PAPER|95 Videos

Similar Questions

Explore conceptually related problems

State True or False If A and B are symmetric matrices of the same order and AB-BA ne 0 , then AB is not symmetric .

State'True'or'false':If A and B are symmetric matrices of the same order and AB-BA !=0 , then AB is not symmetric

If A and B are symmetric matrices of the same order with AB!= BA, final whether AB-BA is symmetric or skew symmetric.

If A and B are symmetric matrices of the same order , then prove that following matrices are skew symmetric matrix : (i) AB' -BA' (ii) AB- BA

If Aand B are both symmetric matrices of same oder,then prove that AB is symmetric if and only if AB=BA.

If A and B are square matrices of the same order , then find (A+B)(A-B).

Let A and B are symmetric matrices of the same order. Prove that AB is symmetric if and if AB = BA.

If A and B are two square matrices of same order, then (A+B)^2=A^2+2AB+B^2 can hold if and only if

If A and B are square matrices of same order, then show by means of an example that AB ne BA in general.

If A and B are invertible matrices of the same order, then prove that (AB)^(-1)=B^(-1)A^(-1)

USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. Let f:RrightarrowR be defined as f(x)=3x. Then f is one-one and onto

    Text Solution

    |

  2. Find the number of binary operations on the set {a,b}.

    Text Solution

    |

  3. If A, B are symmetric matrices of same order, then find AB-BA.

    Text Solution

    |

  4. Let A be square matrix of order 3times3, then find abs(KA) where, k is...

    Text Solution

    |

  5. If A is an invertible matrix of order 2, then find det(A^(-1)).

    Text Solution

    |

  6. Find intx^2e^(x^3)dx

    Text Solution

    |

  7. Give an example of a homogeneous differential equation.

    Text Solution

    |

  8. In triangle ABC, find vec(AB)+vec(BC)+vec(CA)

    Text Solution

    |

  9. Let the vectors veca and vecb such that abs(veca)=3 and abs(vecb)=frac...

    Text Solution

    |

  10. Are the planes 2x-y+4z=5 and 5x-25y+10z=6 are perpendicular?

    Text Solution

    |

  11. Find fog(2) and gof(1), when f:RrightarrowR defined by f(x)=x^2+8 and ...

    Text Solution

    |

  12. Solve cos^(-1)x+sin^(-1)frac[x][2]=frac[pi][6].

    Text Solution

    |

  13. Solve LPP: Maximize Z=5x1+7x2 subject to the constrains 3x1+4x2le12,x1...

    Text Solution

    |

  14. Show the f:R-{-1)rightarrowR-{1} given by f(x)=frac[x][x-1] is inverti...

    Text Solution

    |

  15. Prove the following "tan"^(-1)(2a-b)/(bsqrt(3))+"tan"^(-1)(2b-a)/(as...

    Text Solution

    |

  16. Express A=[[2,-2,-4],[-1,3,4],[1,-2,-3]] as the sum of a symmetric and...

    Text Solution

    |

  17. Using the properties of determinants, show that abs[[1+a^2-b^2,2ab,-2b...

    Text Solution

    |

  18. If A=[{:(costheta,sintheta),(-sintheta,costheta):}], then prove that ...

    Text Solution

    |

  19. Find the minimum value of abs[[a^2,bc,ac+c^2],[a^2+ab,b^2,ac],[ab,b^2+...

    Text Solution

    |

  20. Find the values of x and y such that [{:(3x+7,5),(y+1, 2-3x):}]=[{:(0,...

    Text Solution

    |