Home
Class 12
MATHS
If A =[[1,-2,2],[3,1,-1]] B[[2,4],[1,2],...

If `A =[[1,-2,2],[3,1,-1]]`
`B[[2,4],[1,2],[3,-1]] "verify"`
` "that" (AB)^T=B^TA^T.`

Promotional Banner

Topper's Solved these Questions

  • MODEL QUESTION SET

    USHA PUBLICATION|Exercise MODEL QUESTION SET|692 Videos
  • PREVIOUS YEAR QUESTION 2016

    USHA PUBLICATION|Exercise PREVIOUS YEAR QUESTION |44 Videos

Similar Questions

Explore conceptually related problems

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

If A=[[1,2,],[3,4,]],B=[[-2,3,],[-1,2,]] ,show that (A+B)^T=A^T+B^T.

If A=[[1,2,],[3,4,]],B=[[-2,3,],[-1,2,]] ,show that (A+B)^T=A^T+B^T.

If A=[[1,1],[-1,-1]], B=[[-1,3],[-3,1]] then show that (A+B)^2 !=A^2 + 2AB + B^2 .

If A=[[2,1],[-1,3]], B=[[2,3],[1,1]] "and" C=[[1,0,2],[-2,3,0]] ,verify (A+B)C=AC+BC

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

If A=[[2,1],[-1,3]] B=[[2,5],[-3,2]] find AB and BA.

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

USHA PUBLICATION-PRACTICE PAPER-PRACTICE PAPER
  1. Prove that abs[[b+c,c+a,a+b],[q+r,r+p,p+q],[y+z,z+x,x+y]]=2abs[[a,b,c]...

    Text Solution

    |

  2. Find inverse of the following matrices by elementary row/column operat...

    Text Solution

    |

  3. If A =[[1,-2,2],[3,1,-1]] B[[2,4],[1,2],[3,-1]] "verify" "that" (AB)^...

    Text Solution

    |

  4. Without expanding prove that |[1,a,a^(2),-bc],[1,b,b^(2),-ca],[1,c,c^(...

    Text Solution

    |

  5. Verify that A=[[a,b],[c,d]] satisfies the equation A^2-(a+d)A+(ad-bc...

    Text Solution

    |

  6. Test differentiability and continuity of the following functions. |1...

    Text Solution

    |

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

    Text Solution

    |

  8. Find dy/dx if y = x cot^(-1) (x/y)

    Text Solution

    |

  9. Find the point (S) on the curve x=(3at)/(1+t^2), y=(3at^2)/(1+t^2) whe...

    Text Solution

    |

  10. Show that 2sinx+3tanxgt3x for all xin(0,frac[pi][2])

    Text Solution

    |

  11. Evaluate inte^(tan-1)x((1+x+x^2)/(1+x^2))dx.

    Text Solution

    |

  12. int(pi/5)^(3pi/10) (sinxdx)/(sinx+cosx)

    Text Solution

    |

  13. Find the area of the region bounded by y=6x-x^2x-axis and between ordi...

    Text Solution

    |

  14. Solve : (dy)/(dx)= sin(x+y)+cos(x+y)

    Text Solution

    |

  15. From a differential equation from the equation y=ae^(2x)+be^(-x) by el...

    Text Solution

    |

  16. Prove the following by vector method. An angle inscribed in a semi-cir...

    Text Solution

    |

  17. Find the area of the triangle ABC with vertices A(1,2,4), B(3,1,-2) an...

    Text Solution

    |

  18. If the sum of two unit vectors is a unit vector, show that the magnitu...

    Text Solution

    |

  19. Prove that the two lines whose direction cosines are connected by the ...

    Text Solution

    |

  20. passing through the point (-1,3,2) perpendicular to the planes x+2y+...

    Text Solution

    |