Home
Class 12
MATHS
Matrix multiplication is commutative ....

Matrix multiplication is commutative .

Promotional Banner

Topper's Solved these Questions

  • MATRICES

    PRADEEP PUBLICATION|Exercise EXERCISE|335 Videos

  • LINEAR PROGRAMMING

    PRADEEP PUBLICATION|Exercise EXERCISE|135 Videos

  • MODEL PAPER (1)

    PRADEEP PUBLICATION|Exercise EXERCISE|35 Videos

Similar Questions

Explore conceptually related problems

If A = [[1,0],[0,-1]] and B=[[0,1],[1,0]] , then AB = [[0,1],[-1,0]] and BA = [[0,-1],[1,0]] . Clearly AB ne BA Thus matrix multiplication is not commutative.

We know that multiplicatio is commutative for whole numbers : Can we say multiplication is also commutative for integers ?

True or False statements : Matrix multiplication is associative.

Addition is commutative for

Fill in the blanks: Matrix multiplication is …….. .

Fill in the blanks: Matrix multiplication is not……………….. .

Matrix multiplication is ……… over addition .

Fill in the blanks: Matrix multiplication is ……….. Over matrix oaddition.

Let A and B two symmetric matrices of order 3. Statement 1 : A(BA) and (AB)A are symmetric matrices. Statement 2 : AB is symmetric matrix if matrix multiplication of A with B is commutative.

Consider a binary operation ∗ on the set {1, 2, 3, 4, 5} given by the following multiplication table : Is ∗ commutative?

PRADEEP PUBLICATION-MATRICES-EXERCISE
  1. Two matrices are equal if they have same number of rows and same numbe...

    Text Solution

    |

  2. True or False statements : Two matrices are said to be comparable if...

    Text Solution

    |

  3. Matrix multiplication is commutative .

    Text Solution

    |

  4. True or False statements : If A and B are non-zero square matrices o...

    Text Solution

    |

  5. If matrix AB=O, then A=O or B=O or both A and B are null matrices .

    Text Solution

    |

  6. True or False statements : If A,B,C are three matrices such that bot...

    Text Solution

    |

  7. True or False statements : Matrix multiplication is associative.

    Text Solution

    |

  8. True or False statements : A square matrix in which every element is...

    Text Solution

    |

  9. True or False statements : In an identity matrix, every non-diagonal...

    Text Solution

    |

  10. True or False statements : In an diagonal matrix, every non-diagonal...

    Text Solution

    |

  11. True or False statements : In a scalar matrix, all the non-diagonal ...

    Text Solution

    |

  12. True or False statements : Transpose of a column matrix is a column ...

    Text Solution

    |

  13. True or False statements : Transpose of a row matrix is a column mat...

    Text Solution

    |

  14. If A, B and C are square matrices of same order, then AB=AC always imp...

    Text Solution

    |

  15. True or False statements : For a non-singular matrix A, (A')^-1 = (A...

    Text Solution

    |

  16. If A and B are symmetric matrices of same order then AB + BA is a :

    Text Solution

    |

  17. True or False statements : If A is any matrix, then AA' is always a ...

    Text Solution

    |

  18. True or False statements : If A is any matrix, then AA' is always a ...

    Text Solution

    |

  19. True or False statements : If A is any square matrix, then (A+A')/2 ...

    Text Solution

    |

  20. True or False statements : If A is any square matrix, then (A-A')/2 ...

    Text Solution

    |