Home
Class 12
MATHS
Let A and B be square matrices of the...

Let `A` and `B` be square matrices of the same order. Does `(A+B)^2=A^2+2A B+B^2` hold? If not, why?

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • ADJOINTS AND INVERSE OF MATRIX

    RD SHARMA ENGLISH|Exercise All Questions|181 Videos
  • ALGEBRA OF VECTORS

    RD SHARMA ENGLISH|Exercise All Questions|325 Videos

Similar Questions

Explore conceptually related problems

If A and B are square matrices of the same order then (A+B)^2=A^2+2AB+B^2 implies

If A and B are two square matrices of the same order, then A+B=B+A.

Let A and B be square matrices of the order 3xx3 . Is (A B)^2=A^2B^2 ? Give reasons.

Let A and B be square matrices of the order 3xx3 . Is (A B)^2=A^2B^2 ? Give reasons.

If A and B are any two square matrices of the same order than ,

If A and B are any two matrices of the same order, then (AB)=A'B'

If A and B are square matrices of order 3, then

If A and B are square matrices of same order, then (A+B) (A-B) is equal to

If A and B arę square matrices of same order such that AB = A and BA = B, then

if A and B are symmetric matrices of same order then (AB-BA) is :

RD SHARMA ENGLISH-ALGEBRA OF MATRICES-All Questions
  1. Give examples of matrices A and B such that A B!=B A . (ii) A and B...

    Text Solution

    |

  2. Give examples of matrices A and B such that A B=O but B A!=O . (ii)...

    Text Solution

    |

  3. Let A and B be square matrices of the same order. Does (A+B)^2=A^2+...

    Text Solution

    |

  4. If A and B are square matrices of the same order, explain, why in g...

    Text Solution

    |

  5. Let A and B be square matrices of the order 3xx3 . Is (A B)^2=A^2B^...

    Text Solution

    |

  6. If A and B are square matrices of the same order such that A B=B A ...

    Text Solution

    |

  7. Let A=[[1 ,1, 1],[ 3, 3, 3]] , B=[[3,1], [5, 2],[-2, 4]] and C=[[4,2],...

    Text Solution

    |

  8. Three shopkeepers A ,\ B\ a n d\ C go to a store to buy stationary....

    Text Solution

    |

  9. The cooperative stores of a particular school has 10 dozen physics ...

    Text Solution

    |

  10. In a legislative assembly election, a political group hired a public...

    Text Solution

    |

  11. A trust fund has Rs. 30000 that must be invested in two different ty...

    Text Solution

    |

  12. To promote making of toilets for women, an organisation tried to ge...

    Text Solution

    |

  13. There are two families A and B.In family A, there are 4 men, 6 women a...

    Text Solution

    |

  14. In a parliament election, a political party hired a public relations...

    Text Solution

    |

  15. The monthly incomes of Aryan and Babban are in the ratio 3 : 4 and ...

    Text Solution

    |

  16. A trust invested some money in two types of bonds. The first bond pays...

    Text Solution

    |

  17. If A=[-1// 2// 3] and B=[-2\ \ -1\ \ -4] , verify that (A B)^T=B^T\ A^...

    Text Solution

    |

  18. If A=[[costheta -sintheta], [[sinthe...

    Text Solution

    |

  19. If A=[(1 2 2)[, (2 1 -2),(a 2 b)] is a matrix satisfying A A^T=9I3 , t...

    Text Solution

    |

  20. Find the values of x,y,z if the matrix A=[[0,2y,z],[x,y,-z],[x,-y,z]] ...

    Text Solution

    |