Home
Class 12
MATHS
If A and B are square matrices of the sa...

If A and B are square matrices of the same order such that `A B=B A` , then show that `(A+B)^2=a^2+2A B+B^2`

Text Solution

Verified by Experts

False
For two square matrices of same order it is not always true that AB=BA.
Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    NCERT EXEMPLAR|Exercise Linear Programming|45 Videos

  • PROBABILITY

    NCERT EXEMPLAR|Exercise Probability|107 Videos

Similar Questions

Explore conceptually related problems

If A and B are square matrices of the same order such that AB=BA ,then show that (A+B)^(2)=a^(2)+2AB+B^(2)

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

If A and B are square matrices of the same order such that AB=BA ,then show that (A+B)^(2)=A^(2)+2AB+B^(2)

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

If A and B are square matrics of the same order then (A+B)^2=?

If A and B are square matrics of the same order then (A-B)^2=?

If A and B are square matrics of the same order then (A+B)(A-B)=?

If A and B are square matrices of the same order such that B=-A^(-1)BA, then (A+B)^(2)

If A and B are square matrices of the same order such that AB=A and BA=B ,then (A^(2)+B^(2))=?

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

NCERT EXEMPLAR-MATRICES-Matrices
  1. A matrix denotes a number

    Text Solution

    |

  2. Matrices of any order can be added.

    Text Solution

    |

  3. Two matrices are equal. If they have same number of rows and same numb...

    Text Solution

    |

  4. Matrices of different order cannot be subtracted.

    Text Solution

    |

  5. Matrix addition is associative as well as commutative.

    Text Solution

    |

  6. Matrix m ultiplication is commutative.

    Text Solution

    |

  7. A square m atrix where every element is unity is called an identity ma...

    Text Solution

    |

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

    Text Solution

    |

  9. If A and B are two m atrices of the same order, then A-B=B-A.

    Text Solution

    |

  10. If A dn B be 3xx3 matrices the AB=0 implies (A) A=0 or B=0 (B) A=0 and...

    Text Solution

    |

  11. Transpose of a column matrix is a column matrix.

    Text Solution

    |

  12. If A and B are square matrices of the same order such that A B=B A , t...

    Text Solution

    |

  13. If each of the three matrices of the same order are symmetric, then th...

    Text Solution

    |

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

    Text Solution

    |

  15. If (AB)'=B'A', where A and B are not square matrices, then number of r...

    Text Solution

    |

  16. Let A; B; C be square matrices of the same order n. If A is a non sing...

    Text Solution

    |

  17. A A' is always a symmetric matrix for any matrix A.

    Text Solution

    |

  18. If A=[{:(2,3,-1),(1,4,2):}] and B=[{:(2,3),(4,5),(2,1):}] then AB and ...

    Text Solution

    |

  19. If A is skew-symmetric matrix then A^(2) is a symmetric matrix.

    Text Solution

    |

  20. If A; B are invertible matrices of the same order; then show that (AB)...

    Text Solution

    |