Home
Class 12
MATHS
If A and B are two square matrices of th...

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

Text Solution

Verified by Experts

True,
Since matrix addition is commutative i.e., A+B=B+A where A and B are two square matrices.
Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    NCERT EXEMPLAR ENGLISH|Exercise TRUE/FALSE|2 Videos

  • PROBABILITY

    NCERT EXEMPLAR ENGLISH|Exercise True/False|9 Videos

Similar Questions

Explore conceptually related problems

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

If A and B are two square matrices of the same order then (A-B)^2 is (A) A^2-AB-BA+B^2 (B) A^2-2AB+B^2 (C) A^2-2BA+B^2 (D) A^2-B^2

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

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

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 .

If A and B are square matrices of the same order, then (i) (AB)=......... (ii) (KA)=.......... (where, k is any scalar) (iii) [k(A-B)]=......

If A, B, and C are three square matrices of the same order, then AB=AC implies B=C . Then

If A, B, and C are three square matrices of the same order, then AB=AC implies B=C . Then

If A and B are square matrices of the same order such that A B = B A , then proveby induction that A B^n=B^n A . Further, prove that (A B)^n=A^n B^n for all n in N .

If A and B are square matrices of the same order, then (A+B)(A-B) is equal to A^2-B^2 (b) A^2-B A-A B-B^2 (c) A^2-B^2+B A-A B (d) A^2-B A+B^2+A B

NCERT EXEMPLAR ENGLISH-MATRICES-Solved example
  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)=BA, where A and B are not square matrices, then number of rows...

    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

    |