Home
Class 12
MATHS
Verify that [AB]^T = B^T A^T whereA=[[1,...

Verify that `[AB]^T = B^T A^T` where`A=[[1,2,3],[3,-2,1]],B=[[1,2],[2,0],[-1,1]]`

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

Verify that [AB]^T = B^T A^T where A=[[1,2],[2,3],[3,4]]=[[2,3,0],[1,2,3]]

Verify that [AB]^T =B^TA^T where A=[[1,2,3],[6,7,8],[6,-3,4]] B=[[1,2,3],[3,4,2],[5,6,1]] .

Verify that (AB)^(T) = B^(T)A^(T) where A=|[1,-2,2],[3,1,-1]| and B=|[2,4],[1,2],[3,-2]| .

Verify that (AB)^-1=B^-1A^-1 if A=[[2,3,],[1,-1,]],B=[[0,1,],[3,1,]]

Verify that (AB)^-1=B^-1A^-1 if A=[[1,2,3,],[4,5,6,],[7,8,9,]],B=[[1,2,0,],[2,3,-1,],[1,-1,3,]]

If A=[[2,1],[1,2]],B=[[3,2],[2,1]] find (AB)^(-1) .

Determine the matrices A and B where A+2B=[[1,2,0],[6,-3,3],[-5,3,1]] and 2A-B=[[2,-1,5],[2,-1,6],[0,1,2]] .

If A= [[1,2],[-2,3]]B=[[3,2],[1,4]],C=[[2,2],[1,3]] Calculate AB.

For the matrices A and B , verify that (AB) =B'A' , where A=[{:(1,),(-4,),(3,):}]andB=[{:(-1,2,1):}] .

USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. Verify that A=[[a,b],[c,d]] satisfies the equation A^2-(a+d)A+(ad-bc...

    Text Solution

    |

  2. Solve : [[7,6,x],[2,x,2],[x,3,7]] = 0

    Text Solution

    |

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

    Text Solution

    |

  4. Prove the inequality x^2e^(-x^2) le e^(-1),x in R.

    Text Solution

    |

  5. Prove that d/dxlntan(pi/4+x/2)=secx.

    Text Solution

    |

  6. Determine the point on the curve y = ln x, at which the tangent will b...

    Text Solution

    |

  7. Find the angle of intersection of two curves y =2^x and y=5^x

    Text Solution

    |

  8. If 2y=x(1+(dy)/(dx)), then show that y(2) is a constant.

    Text Solution

    |

  9. Find the solution of the following differential equations: (4x+6y+5)dx...

    Text Solution

    |

  10. int(xe^x)/(1+x^2)dx

    Text Solution

    |

  11. Solve dy/dx-y=e^x.

    Text Solution

    |

  12. Evaluate int(-2)^2abs([x])dx.

    Text Solution

    |

  13. intdx/(sqrtx-root(3)(x))(x=t^6)

    Text Solution

    |

  14. Find the co-ordinates of the foot of the perpendicular from the point ...

    Text Solution

    |

  15. Show that [veca+vecbvecb+veccvecc+veca] = 2[vecavecbvecc]

    Text Solution

    |

  16. Find the points of intersection of the line (x-1)/1=(y+2)/ 3 =(z-1)/(...

    Text Solution

    |

  17. If the magnitude of the difference of two unit vectors is sqrt3 then f...

    Text Solution

    |

  18. Using vector method prove that cosA=(b^2+c^2-a^2)/(2bc)

    Text Solution

    |

  19. 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

    |

  20. Solve the following by matrix method x-y+z=4, 2x+y-3z=0, x+y+z=2

    Text Solution

    |