The solutions will appear in another part of this Web site.
[Back to the Index of Problem Set Questions]
|
[On to the Index of Solutions]
|
[Return to your previous page]Faculty of Engineering and Applied Science
2000 Fall
A set of instructions on how to use Dr. George’s row reduction computer program is available at this link.
|
For each of the following systems of linear equations |
| (i) | rewrite as a matrix equation |
| (ii) | identify the coefficient matrix, the matrix of constants, and the augmented matrix |
| (iii) | use elementary operations to reduce the augmented matrix to either row echelon form, or reduced row echelon form |
| (iv) | write the solution, if any, of the system of linear equations |
| x | + | 3y | - | 2z | = | 8 |
| 3y | - | 5z | = | 11 | ||
| 2x | + | 5y | - | 8z | = | 19 |
| -3x | + | 6y | + | 16z | = | 36 |
| x | - | 2y | - | 5z | = | -11 |
| 2x | - | 3y | - | 8z | = | 15 |
| 3x | + | 2y | - | z | = | 4 |
| 2x | + | 5y | + | z | = | 10 |
| 4x | + | 9y | - | z | = | -21 |
| x | + | 2y | - | 3z | = | -5 | ||
| 2x | + | 4y | - | 6z | + | w | = | -8 |
| 6x | + | 13y | - | 17z | + | 4w | = | -21 |
| x | + | 2y | - | 3w | = | 4 | ||
| 2x | + | 4y | + | z | - | 6w | = | -8 |
| 3x | + | 6y | - | 2z | - | 2w | = | 12 |
| x1 | - | 3x3 | - | x5 | = | 1 | ||||
| x2 | - | 2x3 | - | x4 | = | -2 | ||||
| x1 | + | x2 | - | 5x3 | - | x4 | - | x5 | = | -1 |
| 2x1 | - | 3x2 | + | 2x4 | = | 4 |
The solutions will appear in another part of this Web site.
|
[Back to the Index of Problem Set Questions]
|
[On to the Index of Solutions]
|
[Return to your previous page]