Home
Class 12
MATHS
Fill in the blanks: If A is a square m...

Fill in the blanks:
If A is a square matrix of order n and there exists a square matrix B of order n such that `AB = I_n = BA,` then A is an ……………. Matrix.

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

Fill in the blanks : If A is a square matrix of order n then det (adj A) is equal to ……………… .

If A is a square matrix of order 2, then det (adj A) is equal to

If A is a square matrix of order 3 such that |adjA|=16, then |A| is

If A is a square matrix of order 2, then adj (adj A)

If A is a square matrix of order m, and if there exists another square matrx B of the same order m, such that AB = BA = I, then B is called the…………. (fill in the blanks)

Fill in the blanks: If A is a symmetric matrix of order n and B is any square matrix of the same order then B'AB is a ……….. Matrix.

If A is any of square matrix of order n, then A (adj A) is equal to

If A is a square matrix of order 3 and I is an ldentity matrix of order 3 such that A^(3) - 2A^(2) - A + 2l =0, then A is equal to

If A is a square matrix of order 3 such that |A|=13 , then |adj A| is equal to

Fill in the blanks: If A is a matrix of order mxxn , then IA = A where I is the identity matrix of order………

PRADEEP PUBLICATION-MATRICES-EXERCISE
  1. Fill in the blanks: If A and B are symmetric matrices of the same or...

    Text Solution

    |

  2. Fill in the blanks: If A and B are two matrices then A + B is define...

    Text Solution

    |

  3. Fill in the blanks: If A is a square matrix of order n and there exi...

    Text Solution

    |

  4. Fill in the blanks: In applying one or more row operations while fin...

    Text Solution

    |

  5. Addition is commutative for

    Text Solution

    |

  6. A matrix denotes a number

    Text Solution

    |

  7. True or False statements : Matrix addition is not associative.

    Text Solution

    |

  8. True or False statements : Subtraction of matrice is commutative.

    Text Solution

    |

  9. Matrix subtraction is associative

    Text Solution

    |

  10. If two matrices A and B are of the same order, then 2A+B=B+2A .

    Text Solution

    |

  11. Two matrices are equal if they have same number of rows and same numbe...

    Text Solution

    |

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

    Text Solution

    |

  13. Matrix multiplication is commutative .

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |