|
3. Rank of 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 Matrix Rank ...
`[[1,1,1],[-1,-3,-3],[2,4,4]]`Solution:| Rank | | `1` | `1` | `1` | | | `-1` | `-3` | `-3` | | | `2` | `4` | `4` | |
|
Now, reduce this matrix interchanging rows `R_1 harr R_3` | = | | `2` | `4` | `4` | | | `-1` | `-3` | `-3` | | | `1` | `1` | `1` | |
|
`R_2 larr R_2+1/2xx R_1` | = | | `2` | `4` | `4` | | | `0` | `-1` | `-1` | | | `1` | `1` | `1` | |
|
`R_3 larr R_3-1/2xx R_1` | = | | `2` | `4` | `4` | | | `0` | `-1` | `-1` | | | `0` | `-1` | `-1` | |
|
`R_3 larr R_3- R_2` | = | | `2` | `4` | `4` | | | `0` | `-1` | `-1` | | | `0` | `0` | `0` | |
|
The rank of a matrix is the number of non all-zeros rows `:. Rank = 2`
This material is intended as a summary. Use your textbook for detail explanation.Any bug, improvement, feedback then Submit Here
|
|
|
