Home
Class 12
MATHS
The sum of three numbers is 6. If we ...

The sum of three numbers is 6. If we multiply third number by 3 and add second number to it, we get 11. By adding first and third numbers, we get double of the second number. Represent it algebraically and find the numbers using matrix method.

Text Solution

Verified by Experts

The correct Answer is:
x=1,y=2,z=3
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    OSWAAL PUBLICATION|Exercise TOPIC -1 DETERMINANTS, MINORS & COFACTORS (LONG ANSWER TYPE QUESTION -II)|3 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    OSWAAL PUBLICATION|Exercise MVT AND ROLLE.S THEOREM ( SHORT ANSWER TYPE QUESTIONS-II)|5 Videos
  • DIFFERENTIAL EQUATIONS

    OSWAAL PUBLICATION|Exercise HOMOGENEOUS DIFFERENTIAL EQUATIONS (Long Answer Type Questions - III)|8 Videos

Similar Questions

Explore conceptually related problems

The sum of three numbers is 6. If we multiply third numbers by 3. and add second numbers to it . We get 11. by adding first and third numbers , we get double of the second number. Represent it algebraically and find the numbers using matrix method.

The sum of three numbers in A.P. is 27 and the sum of their squares is 293 . Find the numbers.

The sum of three numbers in AP is -3 and their product is 8, then sum of squares of the numbers is

Consider the first 10 positive integers. If we multiply each number by -1 and then add 1 to each number, the variance of the numbers so obtained is :

The sum of three numbers in G.P. is 56. If we subtract 1, 7, 21 from these numbers in that order, we obtain an arithmetic progression. Find the numbers.

If the sum of three numbers in A.P is24 and their product is 440,find the numbers?

If the sum of three numbers in A.P., is 24 and their product is 440, find the numbers.

The sum of three numbers in HP is 37 and the sum of their reciprocals is (1)/(4) . Find the numbers.

Find the sum of first n even numbers.

The sum of a two digit numbers and the number obtained by reversing the order of its digits is 165 . If the digits differ by 3, find the number .

OSWAAL PUBLICATION-DETERMINANTS-TOPIC-2 SOLUTIONS OF SYSTEM OF LINEAR EQUATIONS (LONG ANSWER TYPE QUESTIONS -II )
  1. Solve by matrix Method: x+2y+3z=2 2x+3y+z=-1 x-y-z=-2

    Text Solution

    |

  2. 2x +3y + 3z =5 , x -2y +z=-4 , 3x - y-2z = 3

    Text Solution

    |

  3. Solve the following system of equation by using matrix method : x+y+...

    Text Solution

    |

  4. Solve the following system of equations by matrix method.3x 2y + 3z= ...

    Text Solution

    |

  5. If A=((2,-3,5),(3,2,-4),(1,1,-2)) find A^(-1). Use it to solve the sys...

    Text Solution

    |

  6. Solve the following system of linear equations by matrix method. x-y...

    Text Solution

    |

  7. The sum of three numbers is 6. If we multiply third number by 3 and...

    Text Solution

    |

  8. If A=[(1,2,-3),(2,3,2),(3,-3,-4)] then find A^-1 and hence solve the f...

    Text Solution

    |

  9. Determine the product [ (-4 4 4), (-7 1 3) and (5 -3 -1)] [(1 -1 1),(...

    Text Solution

    |

  10. Given A=[2 2-4-4 2-4 2-1 5],B=[1-1 0 2 3 4 0 1 2], find BA and use thi...

    Text Solution

    |

  11. IF A={:[(1,2,5),(1,-1,-1),(2,3,-1):}] find A^-1 Hence solve the follow...

    Text Solution

    |

  12. Using matrices, solve the following system of linear equations: x\...

    Text Solution

    |

  13. Solve the following system of equations by matrix method :x+y-z=3 , 2x...

    Text Solution

    |

  14. Using matrices, solve the following system of linear equations: x-y+...

    Text Solution

    |

  15. 3x-4y+2z=-1 2x+3y+5z=7 x+z=2

    Text Solution

    |

  16. If A=[(1,-2,0),(2,1,3),(0,-2,1)] and B=[(7,2,-6),(-2,1,-3),(-4,2,5)] ,...

    Text Solution

    |

  17. Using matrix method, solve the following system of equations: 2/x+...

    Text Solution

    |

  18. 4x+3y+2z=60 x+2y+3z=45 6x+2y+3z=70

    Text Solution

    |

  19. Using matrices, solve the following system of equations : x+2y+z=7 , x...

    Text Solution

    |

  20. Use product [1-1 2 0 2-3 3-2 4]\ \ [-2 0 1 9 2-3 6 1-2] to solve th...

    Text Solution

    |