Home
Class 12
MATHS
Statement I: If any two rows(or columns)...

Statement I: If any two rows(or columns) of a determinant are identical, then the value of the determinant is zero.
Statement II: If each element of a row (or a column) of a determinant is multiplied by a constant k, then its value gets multiplied by k.

A

Both Statement I and Statement II are correct.

B

Both Statement I and Statement II are incorrect.

C

Statement I is correct but Statement II is incorrect.

D

Statement I is incorrect but Statement II is correct.

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • BOARD PAPER SOLUTIONS

    XII BOARDS PREVIOUS YEAR|Exercise All Questions|957 Videos

  • CUET MOCK TEST SET 1

    XII BOARDS PREVIOUS YEAR|Exercise PART – B (SECTION – III MATHEMATICS )|25 Videos

Similar Questions

Explore conceptually related problems

If any two rows (or columns) of a determinant are identical, the value of the determinant is zero.

If any two adjacent rows or columns of a determinant are interchanged in position, the value of the determinant

If any two adjacent rows or columns of a determinant are intercharged in position, the value of the determinant :

Two rows(or columns) are identical or proportional the value of the determinant is

If each element in a row of a determinant is multiplied by the same factor r, then the value of the determinant

If two rows (or column) are identical or Proportional the value of the determinant is

If any two rows/columns of a square matrix A of order n(>2) are identical; then its determinant is 0.

If every element of a third order determinant of value Detlta is multiplied by 5, then the value of new determinant, is

If the value of a third order determinant is 12, then find the value of the determinant formed by replacing each element by its co-factor

XII BOARDS PREVIOUS YEAR-CUET MOCK TEST 2022-Question
  1. The inverse of matrices A. Where A =|(2,5),(1,3)| is

    Text Solution

    |

  2. If A is a square matrix such that A^2 = A, then (I + A)^3 – l is equal...

    Text Solution

    |

  3. Statement I: If any two rows(or columns) of a determinant are identica...

    Text Solution

    |

  4. Let A be a square matrix of order n xxn, then |kA| is equal to

    Text Solution

    |

  5. For what value of k,Points (1,3),(3,9) and (0,k) are collinear

    Text Solution

    |

  6. Statement I: A square matrix A is invertible if and only if A is a non...

    Text Solution

    |

  7. For what value ofk, the system of linear equations 3x-y-2z=2, 2y-kz=1,...

    Text Solution

    |

  8. If A=[(1,3,3),(1,4,3),(1,3,4)] then adj(A) is

    Text Solution

    |

  9. The function f(x) = [x], where [x] = greatest integer of

    Text Solution

    |

  10. The value of integral int(-1)^(1)|x|dx is

    Text Solution

    |

  11. If int((1+logx)^2)/(x)dx =F(x)+C , where C is arbitrary constant, the...

    Text Solution

    |

  12. If int(cosx)/((1-sinx)(2-sinx))dx =F(x)+C then F(X) is

    Text Solution

    |

  13. Value of int xlog xdx is

    Text Solution

    |

  14. The value of int(0)^(3) |x-2| dx is

    Text Solution

    |

  15. The area of the region bounded by the curve y^2 = x and the lines x=1...

    Text Solution

    |

  16. If the solution of (sinx)^(3)xx(dx)/(dy) = sin y is A cos y + B cos x ...

    Text Solution

    |

  17. The solution of the given initial value problem (dy)/(dx)=e^(2x+y),y(0...

    Text Solution

    |

  18. If the solution of (dy)/(dx) -y =e^x , y(0) = 1 is y = F(x)e^x , Then...

    Text Solution

    |

  19. A homogeneous differential equation of the form (dx)/(dy)=g(x/y) can ...

    Text Solution

    |

  20. The sum of the order and degree of the differential equation ((dy)/(dx...

    Text Solution

    |