Home
Class 12
MATHS
If A=[(3,9,0),(1,8,-2),(7,5,4)], B=[(4,...

If ` A=[(3,9,0),(1,8,-2),(7,5,4)], B=[(4,0,2),(7,1,4),(2,2,6)]`, verify that `3(A+B)=3A+3B`.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • MATRICES

    MOTION|Exercise Exercise - 1|35 Videos

  • MATRICES

    MOTION|Exercise Exercise - 2(Level-I) (Single correct Option - type Questions)|7 Videos

  • LIMIT

    MOTION|Exercise EXERCISE-4|17 Videos

  • MAXIMA AND MINIMA

    MOTION|Exercise EXERCISE - 4 (LEVEL - II)|17 Videos

Similar Questions

Explore conceptually related problems

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

If =[[2,3,4],[1,2,3],[4,-5,7]], B= [[2,5,-1],[3,-1,2],[7,2,-3]] , verify that (A+B)'=A'+B'

If A= [(3,1),(4,0)] and B=[(4,0),(2,5)] then verify that (AB)^(-1)= B^(-1) A^(-1)

If A=[{:(" "2,-3,5),(-1," "0,3):}]" and "B=[{:(3,2,-2),(4,-3," "1):}] , verify that (A+B)=(B+A).

If A=[{:(3,2),(1,0):}],B=[{:(1,-2,5),(0,7,3):}]" and "C=[{:(8,1,-6),(2,-5,0):}] , verify that A(B+C)=(AB+AC).

Let A=[{:(3," "4),(-2," "0),(7,-5):}]" and "B=[{:(2,-3),(5," "6),(-1," "8):}]. Verify that (A+B)'=A'+B'.

If A=[{:(3," "5),(-2," "0),(6,-1):}],B=[{:(-1,-3),(4," "2),(-2," "3):}]" and "C=[{:(0," "2),(3,-4),(1," "6):}], Verify that (A+B)+C=A+(B+C).

Let A=[{:(" "2,3,5),(-1,0,4):}]" and "B=[{:(4,-2,3),(2," "6,-1):}]. Verify that A+B=B+A.

MOTION-MATRICES -Exercise - 4 (Level-II)
  1. If A=[(3,9,0),(1,8,-2),(7,5,4)], B=[(4,0,2),(7,1,4),(2,2,6)], verify ...

    Text Solution

    |

  2. Let A=[1 0 0 0 1 1 0-2 4],I=[1 0 0 0 1 0 0 0 1]a n dA^(-1)=[1/6(A^2+c ...

    Text Solution

    |

  3. If P=[[sqrt3/2,1/2] , [-1/2,sqrt3/2]] and A=[[1,1] , [0,1]] and Q=PAP^...

    Text Solution

    |

  4. If A= ((1,0,0),(2,1,0),(3,2,1)), U(1), U(2), and U(3) are column matri...

    Text Solution

    |

  5. Let A = [(1,0,0), (2,1,0), (3,2,1)], and U1, U2 and U3 are columns of ...

    Text Solution

    |

  6. If A= ((1,0,0),(2,1,0),(3,2,1)), U(1), U(2), and U(3) are column matri...

    Text Solution

    |

  7. Match the following {:("(A) The minimum value of "(x^(2)+2x+4)/(x+2)...

    Text Solution

    |

  8. Let A be the set of all 3 xx 3 symmetric matrices all of whose entrie...

    Text Solution

    |

  9. Let A be the set of all 3xx3 symmetric matrices all of whose either 0 ...

    Text Solution

    |

  10. Let A be the set of all 3xx3 symmetric matrices all of whose either 0 ...

    Text Solution

    |

  11. The number of 3xx3 matrices A whose entries are either 0or1 and for wh...

    Text Solution

    |

  12. Let p be an odd prime number and Tp be the following set of 2 x 2 ma...

    Text Solution

    |

  13. Let p be an odd prime number and Tp be the following set of 2 x 2 ma...

    Text Solution

    |

  14. Let p be an odd prime number and Tp be the following set of 2 x 2 ma...

    Text Solution

    |

  15. Let K be a positive real number and A=[2k-1 2sqrt(k)2sqrt(k)2sqrt(k)1-...

    Text Solution

    |

  16. Let M be a 3xx3 matrix satisfying M[{:(0),(1),(0):}]=[{:(-1),(2),(3):}...

    Text Solution

    |

  17. Let P = [a(ij)] " be a " 3 xx 3 matrix and let Q = [b(ij)], " where " ...

    Text Solution

    |

  18. If P is a 3xx3 matrix such that P^T = 2P+I, where P^T is the transpose...

    Text Solution

    |

  19. If the adjoint of a 3 3 matrix P is 1 4 4 2 1 7 1 1 3 , then the po...

    Text Solution

    |

  20. For 3xx3 matrices Ma n dN , which of the following statement (s) is (a...

    Text Solution

    |

  21. Let Ma n dN be two 3xx3 matrices such that M N=N Mdot Further, if M!=N...

    Text Solution

    |