Home
Class 12
MATHS
Matrix theory can be aplied to investiga...

Matrix theory can be aplied to investigate the conditions under which a given system of linear equations possesses unique, indinite or no solutions. Consider the system of non-homogeneous linear equations in 3 unknowns
`x+y+x=6`
`x+2y+3z=10`
`x+2y+lamdaz=rho`
and answer the questions that follow.
The systme possesses a unique solution if

A

`lamdane3, rho=10`

B

`lamda=3, rho=10`

C

`rho=10`

D

`rho=3, lamda ne 10`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION - F|2 Videos

  • DETERMINANTS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION - G|5 Videos

  • DETERMINANTS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION - C|7 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE ENGLISH|Exercise section - J|6 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section - J (Aakash Challengers Questions)|4 Videos

Similar Questions

Explore conceptually related problems

Solve following system of homogeneous linear equations: 3x+y+z=0,\ \ x-4y+3z=0,\ \ 2x+5y-2z=0

Solve following system of homogeneous linear equations: 2x+3y+4z=0,\ \ x+y+z=0,\ \ 2x+5y-2z=0

Obtain the condition for the following system of linear equations to have a unique solution: a x+b y=c ,\ \ \ \ l x+m y=n

Solve the following system of homogeneous linear equations by matrix method: 2x-y+z=0,\ \ 3x+2y-z=0,\ \ x+4y+3z=0

Solve the following system of homogeneous linear equations by matrix method: 3x+y-2z=0,\ \ x+y+z=0,\ \ x-2y+z=0

Solve the following system of homogeneous linear equations by matrix method: x+y+z=0,\ \ x-y-5z=0,\ \ x+2y+4z=0

Solve following system of homogeneous linear equations: x+y-2z=0,\ \ 2x+y-3z=0,\ \ 5x+4y-9z=0

The value of a for which the system of linear equations ax+y+z=0, ay+z=0,x+y+z = 0 possesses non-trivial solution is

Solve the following system of homogeneous linear equations by matrix method: x+y-6z=0,\ \ x-y+2z=0,\ \ -3x+y+2z=0

Find the solution of homogeneous system of equations: x -2y +z =0; x + y = z and 3x + 6y = 5z

AAKASH INSTITUTE ENGLISH-DETERMINANTS -SECTION - D
  1. A is a matric of order 3 xx 3. If A'=A and five entries in the matrix ...

    Text Solution

    |

  2. Consider matrix A=[a(ij)](nxxn). Form the matrix A-lamdal, lamda bein...

    Text Solution

    |

  3. Consider matrix A=[a(ij)](nxxn). Form the matrix A-lamdal, lamda bein...

    Text Solution

    |

  4. Consider matrix A=[a(ij)](nxxn). Form the matrix A-lamdal, lamda bein...

    Text Solution

    |

  5. Matrix theory can be aplied to investigate the conditions under which ...

    Text Solution

    |

  6. Matrix theory can be aplied to investigate the conditions under which ...

    Text Solution

    |

  7. Matrix theory can be aplied to investigate the conditions under which ...

    Text Solution

    |

  8. A and B are two matrices of same order 3 xx 3, where A=[{:(1,2,3),(2,3...

    Text Solution

    |

  9. A and B are two matrices of same order 3 xx 3, where A=[{:(1,2,3),(2,3...

    Text Solution

    |

  10. A and B are two matrices of same order 3 xx 3, where A=[{:(1,2,3),(2,3...

    Text Solution

    |

  11. Consider the matrix A=[{:(0,-h,-g),(h,0,-f),(g,f, 0):}] STATEMENT-1 :...

    Text Solution

    |

  12. Consider the determinants Delta=|{:(2,-1,3),(1,1,1),(1,-1,1):}|,Delta'...

    Text Solution

    |

  13. <b>Statement 1</b>: Matrix [{:(a,0,0,0),(0,b,0,0),(0,0,c,0):}] is a di...

    Text Solution

    |

  14. A square matrix [a(ij)] such that a(ij)=0 for i ne j and a(ij) = k whe...

    Text Solution

    |

  15. STATEMENT-1 : The system of equations x + ky + 3z =0, 3x + ky - 2z =0,...

    Text Solution

    |

  16. Statement-1 f(x) = |{:((1+x)^(11),(1+x)^(12),(1+x)^(13)),((1+x)^(21),(...

    Text Solution

    |