Home
Class 12
MATHS
If A is square matrix of order n gt 1, t...

If A is square matrix of order n `gt` 1, then which one of the following is correct ?

A

det (-A) = det A

B

det (-A) = `(-1)^(n)` det A

C

det (-A) = -det A

D

det (-A) = n det A

Text Solution

Verified by Experts

The correct Answer is:
B

A is square matrix of order `n gt 1`.
`det(-A)=(-1)^(n)` det A
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRATION

    NDA PREVIOUS YEARS|Exercise MCQ|59 Videos
  • PAIR OF STRAIGHT LINES

    NDA PREVIOUS YEARS|Exercise Example|12 Videos

Similar Questions

Explore conceptually related problems

If A is a square matrix of order n gt 1 , then which one of the following is correct ?

Which one of the following order is correct ?

Which one of the following order is correct?

If A is a square matrix of order 3 with |A|ne 0 , then which one of the following is correct ?

If A is a square matrix of order n then |kA|=

If A and B are two matrices such that AB if of order n xx n, then which one of the following is correct?

If a matrix A has inverses B and C, then which one of the following is correct ?

If A is a square matrix such that A-A^(T) = 0 , then which one of the following is correct ?

If A is a square matrix such that A-A^(T)=0 , then which one of the following is correct ?

If A and B are non- singular square matrix of same order 3xx3 , then which of the following options is correct?

NDA PREVIOUS YEARS-MATRICES & DETERMINANTS-MQS
  1. Which one of the following factors does the expansions of the determin...

    Text Solution

    |

  2. What is the adjoint of the matrix ({:(cos(-theta)-sin(-theta)),(-sin(-...

    Text Solution

    |

  3. If A and B are two invertible matrices of same order, the (AB)^-1 is (...

    Text Solution

    |

  4. If a+b+c=0, one root of |a-x c b c b-x a b a c-x|=0 is x=1 b. x=2 c. ...

    Text Solution

    |

  5. What should be the value of x so that the matrix ({:(2,4),(-8,x):}) d...

    Text Solution

    |

  6. The system of equation 2x + y - 3z = 5 3x-2y+2z=5 and 5x-3y-z=16

    Text Solution

    |

  7. If u, v and w (all positive) are the p^(th), q^(th) and r^(th) terms o...

    Text Solution

    |

  8. Consider the following in respect of matrices A, B and C of same order...

    Text Solution

    |

  9. Let matrix B be the adjoint of a square matrix A, l be the identity ma...

    Text Solution

    |

  10. What is the determinant of the matrix ({:(x,y,y+z),(z,x,z+x),(y,z,x+y)...

    Text Solution

    |

  11. If A, B and C are the angles of a triangle and |(1,1,1),(1 + sin A,1...

    Text Solution

    |

  12. Consider the following in respect of matrices A and B of same order : ...

    Text Solution

    |

  13. What is the area of the triangle with vertices (x(1),(1)/(x(1))),(x(2)...

    Text Solution

    |

  14. If B = [{:(3,2,0),(2,4,0),(1,1,0):}], then what is adjoint of B equal ...

    Text Solution

    |

  15. If A = [{:(0,1),(1,0):}], then the matrix A is/an

    Text Solution

    |

  16. If A is a identity matrix of order 3, then its inverse (A^(-1))

    Text Solution

    |

  17. A is a square matrix of order 3 such that its determinant is 4. What i...

    Text Solution

    |

  18. If A is square matrix of order n gt 1, then which one of the following...

    Text Solution

    |

  19. Let A and B be (3 xx 3) matrices with det A = 4 and det B = 3. What ...

    Text Solution

    |

  20. Let A and B be (3 xx 3) matrices with det A = 4 and det B = 3. What ...

    Text Solution

    |