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

  • SAMPLE PAPER 2014

    MODERN PUBLICATION|Exercise EXERCISE|35 Videos

  • SAMPLE PAPER 2016

    MODERN PUBLICATION|Exercise EXERCISE|48 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.

MODERN PUBLICATION-SAMPLE PAPER 2015-EXERCISE
  1. Prove that the measure of the angle between two main diagonals of a cu...

    Text Solution

    |

  2. Find the equation of the plane through the points (1, 2, -3), (2,3, -4...

    Text Solution

    |

  3. Find the perpendicular distance of the point (-1,3,9) from the line (x...

    Text Solution

    |

  4. Solve the following LPP graphically : Minimize Z = 6x(1)+7x(2) Sub...

    Text Solution

    |

  5. Find the feasible region the the following system of equations 2y-xge0...

    Text Solution

    |

  6. Solve the following equations by cramer's rule : 7x+y+1 = 0, x+13y+5 =...

    Text Solution

    |

  7. If A=[{:(3,-4),(1,-1):}] then show that A^(k)=[{:(1+2k,-4k),(k,1-2k):}...

    Text Solution

    |

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

    Text Solution

    |

  9. How many four digits even numbers with distict digits can be formed ou...

    Text Solution

    |

  10. In how many ways can 10 boys and 10 girls sit in a row so that no two ...

    Text Solution

    |

  11. Find the fifth term in the expansion of (6x-a^3/x)^10

    Text Solution

    |

  12. Two different digits are selected at random from the digits 1 through ...

    Text Solution

    |

  13. Suppose that the probability that your alarm goes off in the morning i...

    Text Solution

    |

  14. Find the tangent to the curve y = cos (x + y), 0 le x le 2pi which is ...

    Text Solution

    |

  15. Evaluate intfrac[dx][cosx(1+2sinx)]

    Text Solution

    |

  16. If vec a = 2 hat i + hat j, vec b = - hat i + 2 hat k, vec c = 2 hat i...

    Text Solution

    |

  17. A sphere of constant radius k passes through the origin and meets the ...

    Text Solution

    |

  18. Maximize z=-10x+2y Subject to -x+yge-1 ,x+yle6 ,yle5, x,yge0

    Text Solution

    |

  19. Show that C1^2 + 2C2^2 + 3C3^2 + ... + "^nCn^2 = ((2n-1!))/{(n-1)!}^2

    Text Solution

    |

  20. From a box containing 32 bulbs out of which 8 are defective 4 bulbs ar...

    Text Solution

    |