Home
Class 12
MATHS
Write the value of k, if |{:(aa1,aa2,a...

Write the value of k, if
`|{:(aa_1,aa_2,aa_3),(ab_1,ab_2,ab_3),(ac_1,ac_2,ac_3):}|=k|{:(a_1,b_1,c_1),(a_2,b_2,c_2),(a_3,b_3,c_3):}|`

Text Solution

Verified by Experts

The correct Answer is:
`a^3`
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    ARIHANT PUBLICATION|Exercise PART -2 QUESTION FOR PRACTICE |10 Videos

  • DETERMINANTS

    ARIHANT PUBLICATION|Exercise PART -3 QUESTION FOR PRACTICE |11 Videos

  • DETERMINANTS

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE |39 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (4 MARK)|47 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (LONG ANSWER TYPE QUESTIONS)|21 Videos

Similar Questions

Explore conceptually related problems

Show that [[a_1,b_1,-c_1],[-a_2,b_2,c_2],[a_3,b_3,-c_3]]= [[a_1,b_1,c_1],[a_2,b_2,c_2],[a_3,b_3,c_3]]

Without expanding the determinants prove that |{:(a,a^2,bc),(b,b^2,ca),(c,c^2,ab):}| = |{:(1,a^2,a^3),(1,b^2,b^3),(1,c^2,c^3):}|

The system of equations a_1x+b_1y+c_1z=0 a_2x+b_2y+c_2z=0 a_3x+b_3y+c_3z=0 [[a_1,b_1,c_1],[a_2,b_2,c_2],[a_3,b_3,c_3]]=0

Write the number of solution of the following system of equation. a_1x+b_1y+c_1z=0 a_2x+b_2y+c_2z=0 a_3x+b_3y+c_3z=0 and [[a_1,b_1,c_1],[a_2,b_2,c_2],[a_3,b_3,c_3]] =0

Show that: abs((a,a^2,a^3),(b,b^2,b^3),(c,c^2,c^3))=abc(a-b)(b-c)(c-a)

Write the matrix product AB, if A=[{:(1,2),(3,4):}] and B=[{:(2,0),(0,2):}]

Show that by eliminating alpha and beta from the equations. a_ialpha+b beta_i+c_i =0, i=1,2,3 we get [[a_1,b_1,c_1],[a_2,b_2,c_2],[a_3,b_3,c_3]] =0

Find the value of k for which A (1,0,3), B (-1,2,4), C(1,2,1) and D(k,2,5) are coplaner.

ARIHANT PUBLICATION-DETERMINANTS -PART -1 QUESTION FOR PRACTICE
  1. Determine the maximum value of |{:(cosx, sin x),(-sinx, cos x-1):}|

    Text Solution

    |

  2. Write the value of k, if |{:(aa1,aa2,aa3),(ab1,ab2,ab3),(ac1,ac2,ac3...

    Text Solution

    |

  3. If omega is a complex cube root of 1,then for what value of. lamda the...

    Text Solution

    |

  4. Evaluate the following : [[sin^2theta,cos^2theta,1],[cos^2theta,sin^2t...

    Text Solution

    |

  5. IF omega and omega^2 are the complex cube roots of unity, write the va...

    Text Solution

    |

  6. What is the value of |[i^(103), 3 ,i^(101)],[i^(56), 5, i^(54)],[i^(23...

    Text Solution

    |

  7. If every element of a third order determinant having value 8 is divide...

    Text Solution

    |

  8. What is the value of |[i^(103), 3 ,i^(101)],[i^(56), 5, i^(54)],[i^(23...

    Text Solution

    |

  9. Evaluate |{:(sec theta,-tan theta),(-tan theta, sec theta):}|

    Text Solution

    |

  10. Evaulate |{:(cos15^@,sin 15^@),(sin75^@,cos 75^@):}|

    Text Solution

    |

  11. Evaluate |{:(log3 512,log4 3),(log3 8, log4 9):}|

    Text Solution

    |

  12. If |{:(2x,5),(8,x):}|=|{:(6,-2),(7,3):}| then find the value of x.

    Text Solution

    |

  13. IF |{:(2x,x+3),(2(x+1),x+1):}|=|{:(1,3),(-1,1):}| then find the value ...

    Text Solution

    |

  14. IF A=[(2,3),(3,-1):}]and B=[(1,3),(-1,1):}] then write the value of |...

    Text Solution

    |

  15. IF there are two values of a which makes determinant Delta=|{:(1,-2,5)...

    Text Solution

    |

  16. Evaluate |{:(cosa cos beta, cos a sin beta, -sin a),(-sin beta, cos be...

    Text Solution

    |

  17. Let A be a square matrix of order 3 times 3 Write the value of |2A| wh...

    Text Solution

    |

  18. IF A is 3 times 3 matrix |A| ne 0 and |3A|=k|A| then find the value of...

    Text Solution

    |

  19. Without expanding,show that the following determinant vanishes. abs ((...

    Text Solution

    |

  20. Write the value of Delta=|{:(x+y,y+z,z+x),(z,x,y),(-3,-3,-3):}|

    Text Solution

    |