Home
Class 12
MATHS
Which one of the following statements is...

Which one of the following statements is true?

A

If A'=A, then A is a square matrix

B

Determinant of a non-singular matrix is zero

C

Non-singular square matrix does not have a unique inverse

D

If `|A|=!0` then `|AadjA|=|A|^(n-1)`, where A is a square matrix of order n

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    NIKITA PUBLICATION|Exercise MCQs|101 Videos

  • MHT-CET 2017

    NIKITA PUBLICATION|Exercise MCQ|50 Videos

Similar Questions

Explore conceptually related problems

Which one of the following statement is true?

Which one of the following statement is true ?

Which one of the following statement is true ?

Which one of the following statement is true?

Which one of the following statement is true?

Which one of the following statement is true?

Which one of the following statement is true?

NIKITA PUBLICATION-MATRICES-MULTIPLE CHOICE QUESTIONS
  1. If A^(T), B^(T) are transpose of the square matrices A, B respectively...

    Text Solution

    |

  2. Which of the following relations is incorrect?

    Text Solution

    |

  3. Which one of the following statements is true?

    Text Solution

    |

  4. If A=[[a(11), a(12), a(13)], [a(21), a(22), a(23)], [a(31), a(32), a(3...

    Text Solution

    |

  5. If A=[[1, 1, 0], [2, 1, 5],[1, 2, 1]] and a(ij) denote the cofactor ...

    Text Solution

    |

  6. If A=[[a(11), a(12), a(13)], [a(21), a(22), a(23)], [a(31), a(32), a(3...

    Text Solution

    |

  7. If A and B are non-singular square matrices of same order then adj(AB)...

    Text Solution

    |

  8. If A is a non-singular matrix of order n, then A(adj A)=

    Text Solution

    |

  9. If A is a singular matrix of order n, then A(adjA)=

    Text Solution

    |

  10. If A is a ntimesn matrix and |A|ne0, then adj(adjA)=

    Text Solution

    |

  11. If A is a singular matrix of order n, then (adjA) is

    Text Solution

    |

  12. If A is a square matrix, then adj(A')-(adjA)'=

    Text Solution

    |

  13. If A is a non-singular matrix of order 3, (adjA)+A^(-1)=0, then |A|=

    Text Solution

    |

  14. If A is a non-singular matrix of order 3, then |adjA^(3)|=

    Text Solution

    |

  15. If D is the determinant of a square matrix A of order n, then the dete...

    Text Solution

    |

  16. Which of the following is/are incorrect? (i).Adjoint of symmetric mat...

    Text Solution

    |

  17. The inverse of a matrix A=[[a, b], [c, d]] is

    Text Solution

    |

  18. If A and B are non-singular matrices, then

    Text Solution

    |

  19. If A, B, C are invertible matrices, then (ABC)^(-1)=

    Text Solution

    |

  20. If D=diag(d1,d2,d3,…,dn)" where "d ne 0" for all " I = 1,2,…,n," then ...

    Text Solution

    |