Home
Class 12
MATHS
Given the matrices. A= [[1,2,3],[3,-2,...

Given the matrices.
A= `[[1,2,3],[3,-2,1],[4,2,1]],X=[[x],[y],[z]]` and C=`[[1],[2],[3]]`
write down the linear equations given by AX=C and solve it for x, y, z by matrix method.

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    MBD PUBLICATION|Exercise QUESTION TYPE|4 Videos

  • DIFFERENTIAL EQUATIONS

    MBD PUBLICATION|Exercise QUESTION BANK|87 Videos

Similar Questions

Explore conceptually related problems

[[2,5],[3,4]][[3,1],[-2,3]]=[[x,y],[1,z]] find x,y and z.

Find the product of matrices A and B, where A = [[-5,1,3],[7,1,-5],[1,-1,1]] and B = [[1,1,2],[3,2,1],[2,1,3]] Hence solve the following equations by matrix method, x + y +2z= 1 , 3x +2y + z = 7 , 2x + y + 3z = 2 .

Solve by matrix method 2x+y=5,x-y=1

Solve by matrix method: 2x + 3y=1,4x+5y=3

If [[x+y,x-2],[2x-z,0]]=[[2,5],[3,1]] then the values of x,y,z.

Solve by matrix method. 2x + y = 5 , x-y =1

If A=[[1,-2,1],[0,-1,1],[2,0,-3]] then find A^(-1) and hence solve the system of equations x-2y + z = 0 , -y + z = -2 and 2x-3z= 10.

MBD PUBLICATION-DETERMINATES-QUESTION BANK
  1. Examining consistency and solvability, solve the following equation by...

    Text Solution

    |

  2. Examining consistency and solvability, solve the following equation by...

    Text Solution

    |

  3. Given the matrices. A= [[1,2,3],[3,-2,1],[4,2,1]],X=[[x],[y],[z]] an...

    Text Solution

    |

  4. Find X, if [[1,1,1],[1,1,-1],[2,1,-1]]X=[[6],[0],[1]] where X=[[x1],...

    Text Solution

    |

  5. Answer the following: If every element of a third order matrix is mu...

    Text Solution

    |

  6. Answer the following: What is the value of x if [[4,1],[2,1]]^2=[[...

    Text Solution

    |

  7. Answer the following: What are the values of x and y if [[x,y],[1,...

    Text Solution

    |

  8. Answer the following: What is the value of x if [[x+1,1,1],[1,1,-...

    Text Solution

    |

  9. Answer the following: What is the value of [[o,-h,-g],[h,o,-f],[g,f,...

    Text Solution

    |

  10. Answer the following: What is the value of [[1/a,1,bc],[1/b,1,ca],[1...

    Text Solution

    |

  11. Answer the following: What is the co-factor of 4 in the determinant ...

    Text Solution

    |

  12. Answer the following: In which inverval does the determinant A =[[1...

    Text Solution

    |

  13. Answer the following: If x+y+z=pi, what is the value of Delta =[[s...

    Text Solution

    |

  14. Evaluate the following determinants: [[14,3,28],[17,9,34],[25,9,50]]

    Text Solution

    |

  15. Evaluate the following determinants: [[16,19,13],[15,18,12],[14,17,1...

    Text Solution

    |

  16. Evaluate the following determinants: [[224,777,32],[735,888,105],[81...

    Text Solution

    |

  17. Evaluate the following determinants: [[1,1,1],[2,3,4],[3,4,6]]

    Text Solution

    |

  18. Evaluate the following determinants: [[1,2,3],[3,5,7],[8,14,20]]

    Text Solution

    |

  19. Evaluate the following determinants: [[1^2,2^2,3^2],[2^2,3^2,4^2],[3...

    Text Solution

    |

  20. Evaluate the following determinants: [[1,0,-5863],[-7361,2,7361],[1,...

    Text Solution

    |