Home
Class 12
MATHS
Let A and B are symmetric matrices of th...

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

Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 2020

    MODERN PUBLICATION|Exercise EXERCISE|43 Videos

  • TEST PAPER 10

    MODERN PUBLICATION|Exercise EXERCISE|33 Videos

Similar Questions

Explore conceptually related problems

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 symmetric matrices , then prove that AB+ BA is a symmetric matrix .

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 .

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

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

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

A and B are square matrices of the same order, prove that : if A,B and AB are all symmetric, then AB-BA =0

If A and B are symmetric matrices , then prove that BA - 2AB is neither a symmetric matrix nor skew - symmetric matrix .

MODERN PUBLICATION-TEST PAPER 1-PROBLEM
  1. Examine f:(-1,1) rarr R,f(x) = x/(1-x^2functions if it is (i) injecti...

    Text Solution

    |

  2. Solve the following LPP graphically Maximize, Z=20x+30y Subject to...

    Text Solution

    |

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

    Text Solution

    |

  4. Express abs((a^2,2ab,b^2),(b^2,a^2,2ab),(2ab,b^2,a^2)) in the form of ...

    Text Solution

    |

  5. Verify that [AB]^T = B^T A^T whereA=[[1,2,3],[3,-2,1]],B=[[1,2],[2,0],...

    Text Solution

    |

  6. Discuss the continuity and differentiability of function f(x)=|x|+|x-1...

    Text Solution

    |

  7. If sin (x + y) = y cos (x + y) then prove that dy/dx =-(1 + y^2)/y^2

    Text Solution

    |

  8. Find dy/dx for (x+y)^(cosx) = e^(x+y).

    Text Solution

    |

  9. Prove that , if y=logtan((pi)/(4)+(x)/(2)) , then (dy)/(dx)=secx

    Text Solution

    |

  10. Evaluate : int (cos px + cos qx)/(sin px + sin qx) dx.

    Text Solution

    |

  11. Evaluate int (4x-5)/(x^2-x-2)dx

    Text Solution

    |

  12. FInd the area of the region bounded by y^2 = x and y = x.

    Text Solution

    |

  13. Solve : dy/dx (x^2 - 1) + 2xy = 1.

    Text Solution

    |

  14. Form the differential equation for : y = a sin^-1 x + b cos^-1 x.

    Text Solution

    |

  15. Find the point of intersection of the line 2x - 4= 3y = z with plane x...

    Text Solution

    |

  16. Find the equation of the plane parallel to x - 5y + z + 1 =0 and at a ...

    Text Solution

    |

  17. If 2s=a+b+c show that [[a^2,(s-a)^2,(s-a)^2],[(s-b)^2,b^2,(s-b)^2],[...

    Text Solution

    |

  18. If A=((cosx,sinx),(-sinx,cosx)) then prove that A^n=((cosnx,sin nx),(-...

    Text Solution

    |

  19. Exaniming consistency and solvability, solve the following equations b...

    Text Solution

    |

  20. Prove that e^x-2=0 has a solution between 0 and 1.

    Text Solution

    |