Home
Class 12
MATHS
Examine the consistency of the system of...

Examine the consistency of the system of equations
`3x -y - 2z = 2" "``2y -z = 1" "``3x - 5y = 3`

Text Solution

AI Generated Solution

To examine the consistency of the system of equations given by: 1. \( 3x - y - 2z = 2 \) 2. \( 2y - z = 1 \) 3. \( 3x - 5y = 3 \) we will follow these steps: ...
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    NCERT ENGLISH|Exercise EXERCISE 5.7|17 Videos

  • DIFFERENTIAL EQUATIONS

    NCERT ENGLISH|Exercise EXERCISE 9.1|12 Videos

Similar Questions

Explore conceptually related problems

Examine the consistency of the system of equations x + 2 y = 2" " 2x + 3y = 3

Examine the consistency of the system of equations x + 3 y = 5" " 2x + 6y = 8

Examine the consistency of the system of equations 5x -y + 4z = 5," " 2x + 3y + 5z = 2," " 5x -2y + 6z = 1

Examine the consistency of the system of equations x + y + z = 1 2x + 3y + 2z = 2 a x + a y + 2a z = 4

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

Test the consistency of the following system of equations : (i) 3x-y=2 ,6x-2y=4 (ii) x+5y=1 , 2x+2y=4 (iii) 2x-z=-1, 6x-6y-2z=5 , 3x-y-2z=2

Solve the following system of equations 3x - 4y + 5z = 0, x + y - 2z = 0, 2x + 3y + z = 0

Determine the product [[-4, 4, 4], [-7, 1, 3],[5, -3, -1]][[1, -1, 1],[1, -2, -2],[2, 1, 3]] and use it to solve the system of equations x – y + z = 4, x – 2y – 2z = 9, 2x + y + 3z = 1

Determine the product [[-4, 4, 4], [-7, 1, 3],[5, -3, -1]][[1, -1, 1],[1, -2, -2],[2, 1, 3]] and use it to solve the system of equations x – y + z = 4, x – 2y – 2z = 9, 2x + y + 3z = 1

For the system of equations: x+2y+3z=1 2x+y+3z=2 5x+5y+9z=4

NCERT ENGLISH-DETERMINANTS-All Questions
  1. Solve system of linear equations, using matrix method, 5x + 2y = 4," ...

    Text Solution

    |

  2. Examine the consistency of the system of equations 5x -y + 4z = 5," "...

    Text Solution

    |

  3. Examine the consistency of the system of equations 3x -y - 2z = 2" "2...

    Text Solution

    |

  4. Examine the consistency of the system of equations x + y + z = 1 2x + ...

    Text Solution

    |

  5. If A is an invertible matrix of order 2, then det (A^(-1))is equal to...

    Text Solution

    |

  6. Find the inverse the matrix (if it exists)given in[(1, 0, 0),( 0,cosal...

    Text Solution

    |

  7. Find area of the triangle with vertices at the point given in each of...

    Text Solution

    |

  8. Show that pointsA (a , b + c), B (b , c + a), C (c , a + b)are collin...

    Text Solution

    |

  9. If A=|[3, 2], [7, 5]| and B=|[6 ,7], [8, 9]| , verify that (A B)^(-1)=...

    Text Solution

    |

  10. Let A be a non-singular square matrix of order 3 xx3. Then |adj A| is ...

    Text Solution

    |

  11. If A=[2-1 1-1 2-1 1-1 2] . Verify that A^3-6A^2+9A-4I=O and hence find...

    Text Solution

    |

  12. Let A=[[1,sintheta,1],[-sintheta,1,sintheta],[-1,-sintheta,1]], where ...

    Text Solution

    |

  13. If x, y, z are non-zero real numbers, then the inverse of matrix A=[(...

    Text Solution

    |

  14. If a, b, c, are in A.P, then the determinant |(x+2,x+3,x+2a),( x+3,x+4...

    Text Solution

    |

  15. Solve the system of equations2/x+3/y+(10)/z=4,4/x-6/y+5/z=1,6/x+9/y-(2...

    Text Solution

    |

  16. Using properties of determinants. Prove that |(sinalpha,cosalpha,cos(a...

    Text Solution

    |

  17. Using properties of determinants. Prove that|[1 ,1+p,1+p+q],[2, 3+2p,4...

    Text Solution

    |

  18. Using properties of determinants. Prove that|[3a,-a+b,-a+c],[-b+a,3b,-...

    Text Solution

    |

  19. Using properties of determinants, prove the following: |xx^2 1+p x...

    Text Solution

    |

  20. Using properties of determinants. Prove that|(alpha,alpha^2,beta+gamma...

    Text Solution

    |