Home
Class 11
MATHS
The value of the determinant of A = [(0,...

The value of the determinant of A = `[(0,a,-b),(-a,0,c),(b,-c,0)]` is

A

`-2abc`

B

abc

C

0

D

`a^(2)+b^(2)+c^(2)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MATRICES AND DETERMINANTS

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS SECTION -A (1 MARK )|7 Videos

  • MATRICES AND DETERMINANTS

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS SECTION -B (2 MARK )|3 Videos

  • MATRICES AND DETERMINANTS

    SURA PUBLICATION|Exercise EXERCISE 7.4|9 Videos

  • INTRODUCTION OF PROBABILITY THEOREM

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS SECTION - A|14 Videos

  • QUESTION PAPER -19

    SURA PUBLICATION|Exercise SECTION - IV|11 Videos

Similar Questions

Explore conceptually related problems

The value of the determinant A=[(0,a,-b),(-a,0,c),(b,-c,0)] is

If, a,b,c are positive and unequal,show that value of the determinant Delta ={:[( a,b,c),( b,c,a),( c,a,b)]:} is negative

If a gt 0, b gt 0, c gt0 are respectively the pth, qth, rth terms of a G.P., then the value of the determinant |(log a,p,1),(log b,q,1),(log c,r,1)| , is

Let a, b, c be positive and not all equal. Show that the value of the determinant |[a,b,c],[b,c,a],[c,a,b]| is negative

If f (x) = |(0,x-a,x-b),(x+a,0,x-c),(x+b,x+c,0)| then

Using the property of determinants and without expanding {:[( 0,a,-b),(-a,0,-c),( b,c,0) ]:}=0

If a^(2) + b^(2) + c^(3) + ab + bc + ca le 0 for all, a, b, c in R , then the value of the determinant |((a + b +2)^(2),a^(2) + b^(2),1),(1,(b +c + 2)^(2),b^(2) + c^(2)),(c^(2) + a^(2),1,(c +a +2)^(2))| , is equal to

Find (1)/(2)(A+A') and (1)/(2)(A-A') , when A=[(0, a, b),(-a,0,c),(-b,-c,0)]

witout expanding at any stage Prove that |{:(0,,a,,-b),(-a,,0,,-c),(b,,c,,0):}| =0

SURA PUBLICATION-MATRICES AND DETERMINANTS -EXERCISE 7.5
  1. If A= [(1,-1),(2,-1)] and B = [(a,1),(b,-1)] and(A+B)^(2)=A^(2)+B^(2),...

    Text Solution

    |

  2. If A = [(1,2,2),(2,1,-2),(a,2,b)] is a matrix satisfying the equation ...

    Text Solution

    |

  3. If A is a square matrix, then which of the following is not symmetric ...

    Text Solution

    |

  4. If A and B are symmetric matrices of order n,where(A ne B),then:

    Text Solution

    |

  5. If A = [(a,x),(y,a)] and if xy = 1, then det ("AA"^(T)) is equal to

    Text Solution

    |

  6. The value of x, for which the matrix A = [(e^(x-2),e^(7+x)),(e^(2+x),e...

    Text Solution

    |

  7. If the points (x,-2), (5,2), (8,8) are collinear, then x is equal to

    Text Solution

    |

  8. If =|(2a,x(1),y(1)),(2b,x(2),y(2)),(2c,x(3),y(3))|=abc/2 ne 0then the ...

    Text Solution

    |

  9. If the square of the matrix [(alpha,beta),(gamma,-alpha)] is the unit ...

    Text Solution

    |

  10. If Delta=|(a,b,c),(x,y,z),(p,q,r)|,"then"|(ka,kb,kc),(kx,ky,kz),(kp,kq...

    Text Solution

    |

  11. A root of the equation |(3-x,-6,3),(-6,3-x,3),(3,3,-6-x)|=0 is

    Text Solution

    |

  12. The value of the determinant of A = [(0,a,-b),(-a,0,c),(b,-c,0)] is

    Text Solution

    |

  13. If x(1), x(2), x(3) and y(1),y(2), y(3) are in arithmetic progression ...

    Text Solution

    |

  14. If |.| denotes the greatest integer less than or equal to the real num...

    Text Solution

    |

  15. If a ne b, b,c satisfy |(a,2b,2c),(3,b,c),(4,a,b)|=0, then abc =

    Text Solution

    |

  16. If A = |(-1,2,4),(3,1,0),(-2,4,2)|and B= |(-2,4,2),(6,2,0),(-2,4,8)|,t...

    Text Solution

    |

  17. If A is a skew symmetric matrix of order n and C is a column matrix of...

    Text Solution

    |

  18. The matrix A satisfying the equation [(1,3),(0,1)] A= [(1,1),(0,-1)] i...

    Text Solution

    |

  19. If A +I = [(3,-2),(4,1)], then (A+I) (A-I) is equal to

    Text Solution

    |

  20. Let A and B be two symmetrices of same order. Then which one of the f...

    Text Solution

    |