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