Question 4
x + y + z = 1 5. 3x-y - 2z = 2 6. 5x - y + 4z = 5 2x + 3y + 2z = 2 2y - z = -1 2x + 3y + 5z = 2 ax + ay + 2az = 4 3x - 5y = 3 5x - 2y + 6 z = -1 Solve system of linear equations, using matrix method, in Exercises 7 to 14. 7. 5x + 2y = 4 8. 2x - y = -2 9. 4x - 3y = 3 7x + 3y = 5 3x + 4y = 3 3x - 5y = 7 10. 5x + 2y = 3 11. 2x + y + z = 1 12. x - y + z = 4 3x + 2y = 5 x - 2y - z = 3 2 2x + y - 3z = 0 3y - 5z = 9 x + y + z = 2 13. 2x + 3y +3 z = 5 14. x - y + 2z = 7 x - 2y + z = - 4 3x + 4y - 5z = - 5 3x - y - 2z = 3 2x - y + 3z = 12 15. If A =
| 2 -3 5 |
|---|
3 2 - 4 / 1 1 -2 / / , find A-1. Using A-1 solve the system of equations 2x - 3y + 5z = 11 3x + 2y - 4z = - 5 x + y - 2z = - 3 16. The cost of 4 kg onion, 3 kg wheat and 2 kg rice is 60. The cost of 2 kg onion, 4 kg wheat and 6 kg rice is 90. The cost of 6 kg onion 2 kg wheat and 3 kg rice is ` 70. Find cost of each item per kg by matrix method.