Home
Class 12
MATHS
If A=[{:(1,-2,2),(3,1,-1):}]andB=[{:(2,...

If `A=[{:(1,-2,2),(3,1,-1):}]andB=[{:(2,4),(1,2),(3,-1):}]` , then verify that `(AB)^(T)=B^(T)A^(T)`.

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

A=[{:(3,-4),(1,1),(2,0):}]andB=[{:(2,1,2),(1,2,4):}] , then verify that (BA)^(2)neB^(2)A^(2) .

If A=[{:(2,4,0),(3,9,6):}]andB=[{:(1,4),(2,8),(1,3):}] then verify that (AB)'=B'A'.

If A=[{:(3,sqrt(3),2),(4,2,0):}]andB=[{:(2,-1,2),(1,2,4):}] , then verify that (A')'=A

If A'=[{:(3,4),(-1,2),(0,1):}] and B=[{:(-1,2,1),(1,2,3):}] then verify that (A+B)'=A'+B'.

If A=[{:(-1,2,3),(5,7,9),(-2,1,1):}]andB=[{:(-4,1,-5),(1,2,0),(1,3,1):}] , then verify that (i) (A+B)'=A+B ' (ii) (A-B)=A'-B '

If A=[(1,2),(2,3),(3,4)]and B=[(2,3,0),(1,2,3)], then verify that (AB)^T=B^TA^T .

If A=[{:(2,0),(1,4):}]andB=[{:(-1,2),(3,0):}] , then find (AB).

If A=[{:(0,-1,2),(4,3,-4):}]andB=[{:(4,0),(1,3),(2,6):}] then verify that : (i) (A')'=A (ii) (AB)'=B'A '

If A=[{:(-2,3),(1,2):}]andB=[{:(-1,0),(1,2):}] , then find (A+2B).

USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. If l1,m1,n1andl2,m2,n2 are the direction cosines of two mutually perpe...

    Text Solution

    |

  2. 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

    |

  3. If A=[{:(1,-2,2),(3,1,-1):}]andB=[{:(2,4),(1,2),(3,-1):}] , then veri...

    Text Solution

    |

  4. Let A={1,2,3}, which of the following functions on A is invertible?

    Text Solution

    |

  5. Let A={1,2,3}, which of the following functions on A is invertible?

    Text Solution

    |

  6. Let A={1,2,3}, which of the following functions on A is invertible?

    Text Solution

    |

  7. Let A={1,2,3}, which of the following functions on A is invertible?

    Text Solution

    |

  8. Find sin[frac[pi][2]-sin^(-1)(-frac[1][2])]

    Text Solution

    |

  9. Find the number of all possible matrices of order 3xx3 with each of ...

    Text Solution

    |

  10. Find the value of x if abs[[2,3],[4,5]]=abs[[x,3],[2x,5]]

    Text Solution

    |

  11. If A is a square matrix of order 2, then find det(adjA).

    Text Solution

    |

  12. Evaluate inte^(x)(sinx+cosx)dx.

    Text Solution

    |

  13. Write the differential equation having y=C1e^x+C2e^x as its general so...

    Text Solution

    |

  14. If veca is a non zero vector of magnitude abs(veca) and lambda is a no...

    Text Solution

    |

  15. Find the value of haticdot(hatjtimeshatk)+hatjcdot(hatitimeshatk)+hatk...

    Text Solution

    |

  16. Are the lines frac[x][1]=frac[y][2]=frac[z][3] and frac[x-1][-2]=frac[...

    Text Solution

    |

  17. Solve LPP : Maximize Z=20x1+30x2 subject to constraints 3x1+5x2le15, x...

    Text Solution

    |

  18. Solve sin^(-1)x +sin^(-1)(1-x) =(pi)/(2).

    Text Solution

    |

  19. Let ast be a binary operation on the set of real numbers, defined by a...

    Text Solution

    |

  20. Let ast be a binary operation on the set of real numbers, defined by a...

    Text Solution

    |