Home
Class 12
MATHS
Determine the values of x for which the ...

Determine the values of x for which the matrix A=`[(x+1,-3 ,4),(-5,x+2, 2) ,(4 ,1,x-6)]` is singular.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DERIVATIVES AS A RATE MEASURER

    RD SHARMA ENGLISH|Exercise All Questions|168 Videos

  • DIFFERENTIABILITY

    RD SHARMA ENGLISH|Exercise All Questions|135 Videos

Similar Questions

Explore conceptually related problems

Determine the values of x for which the matrix A=[x+1-3 4-5x+2 2 4 1x-6] is singular.

find the real value of x for which the matrix =[(x+1,3,5),(1,x+3,5),(1,3,x+5)] is non-singular.

Find the value of x for which the matrix A=[(2//x,-1,2),(1,x,2x^(2)),(1,1//x,2)] is singular.

The number of values of x for which the matrix A=[(3-x,2,2),(2,4-x,1),(-2,-4,-1-x)] is singular, is

Find the values of x for which matrix [(3,-1+x,2),(3,-1,x+2),(x+3,-1,2)] is singular.

The value of x for which the matrix |(-x,x,2),(2,x,-x),(x,-2,-x)| will be non-singular, are

For what value of x the matrix A=[[1,-2,3],[1,2,1],[x,2,-3]] is singular?

Find the value of the determinant = |(2, 3, 4) ,(5, 6, 8),( 6x,9x, 12 x)| .

If [(1,3,9),(1,x,x^(2)),(4,6,9)] is singular matrix then x =

Find the value of the determinant = |(2, 3, 4),( 5, 6, 8),( 6x,9x ,12 x)|

RD SHARMA ENGLISH-DETERMINANTS-All Questions
  1. Evaluate =|[-1, 6,-2],[ 2, 1, 1],[ 4, 1,-3]| by two methods

    Text Solution

    |

  2. If A=[1 3 2 1] , find the determinant of the matrix A^2-2Adot

    Text Solution

    |

  3. Determine the values of x for which the matrix A=[(x+1,-3 ,4),(-5,x+2,...

    Text Solution

    |

  4. The value of the determinant |[x, x+y, x+2y], [x+2y, x,x+y],[x+y, x+2y...

    Text Solution

    |

  5. The number of distinct real roots of |(cosecx,secx,secx),(secx, cosecx...

    Text Solution

    |

  6. Let f(x)=|[cosx , x , x] , [2sinx , x , 2x] , [sinx , x , x]|, then ...

    Text Solution

    |

  7. A triangle has its three sides equal to a , b and c . If the coordina...

    Text Solution

    |

  8. Solve the following system of equations using Cramers rule. 5x-7y+z=1...

    Text Solution

    |

  9. Let A=|(1,sintheta,1),(-sintheta,1,sintheta),(-1,-sintheta,1)|, where ...

    Text Solution

    |

  10. Prove the identities: |[a, b-c,c-b],[ a-c, b, c-a],[ a-b,b-a, c]| =(...

    Text Solution

    |

  11. Prove the identity: |[b^2+c^2,ab, ac],[ba,c^2+a^2,bc],[ca, cb ,a^2+b^2...

    Text Solution

    |

  12. |((a^2+b^2)/c,c,c),(a,(b^2+c^2)/a,a),(b,b,(a^2+c^2)/b)| equal to : (A)...

    Text Solution

    |

  13. Prove that identities: |[-bc,b^2+bc,c^2+bc],[a^2+ac,-ac,c^2+ac],[a^2+...

    Text Solution

    |

  14. Without expanding, prove that |a b c x y z p q r|=|x y z p q r a b c|=...

    Text Solution

    |

  15. If |[p, b, c],[ a, q, c],[ a, b, r]|=0, find the value of p/(p-a)+q/(...

    Text Solution

    |

  16. Find the equation of the line joining A(1,3)a n dB(0,0) using determin...

    Text Solution

    |

  17. If A(x1, y1),B(x2, y2) and C(x3,y3) are vertices of an equilateral ...

    Text Solution

    |

  18. If f(x)=|0x-a x-b x+a0x-c x+b x+c0|,t h e n f(x)=0 (b) f(b)=0 (c) f...

    Text Solution

    |

  19. Prove the identities: |[a^2,a^2-(b-c)^2,b c], [b^2,b^2-(c-a)^2,c a],[...

    Text Solution

    |

  20. Prove the identities: |[z, x, y],[ z^2,x^2,y^2],[z^4,x^4,y^4]|=|[x,...

    Text Solution

    |