Home
Class 12
MATHS
Find the values of x in which abs[[3,x...

Find the values of x in which
`abs[[3,x],[x,1]]=abs[[3,2],[4,1]]`

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    BODY BOOKS PUBLICATION|Exercise EXERCISE|148 Videos

  • DIFFERENTIAL EQUATIONS

    BODY BOOKS PUBLICATION|Exercise EXERCISE|5 Videos

Similar Questions

Explore conceptually related problems

Find x if abs[[2,4],[5,1]]=abs[[2x,4],[6,x]]

Find x if abs[[x,2],[18,x]]=abs[[6,2],[18,6]]

If abs[[3,x],[x,x]]=abs[[-2,2],[4,1]] ,find the value of x.

Let abs[[1,3,2],[2,0,1],[3,4,3]]=3 ,then what is the value of abs[[1,3,2],[4,0,2],[3,4,3]]= and abs[[6,7,6],[2,0,1],[3,4,3]]= (Hint: Use the properties of determinants)

Find X if Y=[[3,2],[1,4]] 2X+Y=[[1,0],[-3,2]]

Find values of x if i) |[2 , 4],[ 5, 1]|=|[2 x, 4], [6, x]| ii) |[2, 3],[ 4 , 5]|=|[ x, 3],[ 2 x, 5]|

Find the following: int_1^4abs[x-2]dx

Using properties of determinants prove the following. abs[[1,x,x^2],[x^2,1,x],[x,x^2,1]]=(1-x^3)^2

BODY BOOKS PUBLICATION-DETERMINANTS-EXERCISE
  1. Prove that abs[[1!,2!,3!],[2!,3!,4!],[3!,4!,5!]]=4!

    Text Solution

    |

  2. Solve the system of Linear equations x+2y+z=8,2x+y-z=1,x-y+z=2

    Text Solution

    |

  3. Inverse of the matrix [[0,1,2],[0,1,1],[1,0,2]]

    Text Solution

    |

  4. Find the values of x in which abs[[3,x],[x,1]]=abs[[3,2],[4,1]]

    Text Solution

    |

  5. Using the property of determinants,show that the points A(a,b+c),B(b...

    Text Solution

    |

  6. Examine the consistency of system of following equations: 5x-6y+4z...

    Text Solution

    |

  7. Let B is a square matrix of order 5, then abs[kB] is equal to….

    Text Solution

    |

  8. Prove that abs[[1,x,x^2],[1,y,y^2],[1,z,z^2]]=(x-y)(y-z)(z-x)

    Text Solution

    |

  9. Check the consistency of the following equations, 2x+3y+z=6,x+2y-z...

    Text Solution

    |

  10. If abs[[x,3],[5,2]]=5,then x=…..

    Text Solution

    |

  11. By using properties of determinants, prove that |[y+k,y,y],[y,y+k,y],...

    Text Solution

    |

  12. Solve the following system of linear Equations,using matrix method, ...

    Text Solution

    |

  13. Find values of x if i) |[2 , 4],[ 5, 1]|=|[2 x, 4], [6, x]| ii) ...

    Text Solution

    |

  14. Find the values of x, if |(2,3),(4,5)|=|(x,3),(2x,5)|

    Text Solution

    |

  15. Using properties of determinants prove the following. abs[[1,x,x^2...

    Text Solution

    |

  16. Find the adjoint of B=[[1,-1,2],[2,3,5],[-2,0,1]]

    Text Solution

    |

  17. By using properties of determinants, prove that |[x+4,2x,2x],[2x,x+4,...

    Text Solution

    |

  18. Prove that abs[[y+k,y,y],[y,y+k,y],[y,y,y+k]]=k^2(3y+k)

    Text Solution

    |

  19. If A = [[1,2],[4,2]] then show that |2A|= 4|A|

    Text Solution

    |

  20. Prove that abs[[a-b-c,2a,2a],[2b,b-c-a,2b],[2c,2c,c-a-b]]=(a+b+c)^3

    Text Solution

    |