Question 1. x + 2y = 2 and 2x + 3y = 3 | |

Question 2. 2x – y = 5 and x + y = 4 | |

Question 3. x + 3y = 5 and 2x + 6y = 8 | |

Question 4. x + y + z = 1 , 2x + 3y + 2z = 2 and ax + ay + 2az = 4 | |

Question 3x–y – 2z = 2, 2y – z =-1 and –3x – 5y = 3 | |

Question 6. 5x – y + 4z = 5,2x + 3y + 5z = 2 and 5x – 2y + 6z = –1 | |

Solve system of linear equations, using matrix method, in Exercises 7 to 14. Question 7. 5x + 2y = 4 and 7x + 3y = 5 | |

Question 8. 2x – y = –2 and 3x + 4y = 3 | |

Question 9. 4x – 3y = 3 and 3x – 5y = 7 | |

Question 10. 5x + 2y = 3 and 3x + 2y = 5 | |

Question 11. 2x + y + z = 1, x – 2y – z =3/2 and 3y – 5z = 9 | |

Question 12. x – y + z = 4, 2x + y – 3z = 0 and x + y + z = 2 | |

Question 13. 2x + 3y +3 z = 5, x – 2y + z = – 4 and 3x – y – 2z = 3 | |

Question 14. x – y + 2z = 7,3x + 4y – 5z = – 5 and 2x – y + 3z = 12 | |

Question 15. If , find A–1. Using A–1 solve the system of equations 2x – 3y + 5z = 11 3x + 2y – 4z = – 5 x + y – 2z = – 3 | |

Question 16. The cost of 4 kg onion, 3 kg wheat and 2 kg rice is Rs 60. The cost of 2 kg onion, 4 kg wheat and 6 kg rice is Rs 90. The cost of 6 kg onion 2 kg wheat and 3 kg rice is Rs 70. Find cost of each item per kg by matrix method. | |