|
16. Pivots of a Matrix example
( Enter your problem )
|
- Example `[[8,-6,2],[-6,7,-4],[2,-4,3]]`
- Example `[[3,2,4],[2,0,2],[4,2,3]]`
- Example `[[1,1,1],[-1,-3,-3],[2,4,4]]`
- Example `[[2,3],[4,10]]`
|
|
3. Example `[[1,1,1],[-1,-3,-3],[2,4,4]]`
Find Pivots of a Matrix ...
`[[1,1,1],[-1,-3,-3],[2,4,4]]`Solution:First apply Gaussian Elimination method to find Pivots | `A` | = | | `1` | `1` | `1` | | | `-1` | `-3` | `-3` | | | `2` | `4` | `4` | |
|
`R_2 larr R_2+ R_1` | = | | `1` | `1` | `1` | | | `0` | `-2` | `-2` | | | `2` | `4` | `4` | |
|
`R_3 larr R_3-2xx R_1` | = | | `1` | `1` | `1` | | | `0` | `-2` | `-2` | | | `0` | `2` | `2` | |
|
`R_3 larr R_3+ R_2` | = | | `1` | `1` | `1` | | | `0` | `-2` | `-2` | | | `0` | `0` | `0` | |
|
Pivots are the first non-zero element in each row of this eliminated matrix. `:.` Pivots are `1,-2`
This material is intended as a summary. Use your textbook for detail explanation.Any bug, improvement, feedback then Submit Here
|
|
|
