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Transforming matrix to Reduced Row Echelon Form calculator
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1. `[[8,-6,2],[-6,7,-4],[2,-4,3]]`
2. `[[6,-2,2],[-2,3,-1],[2,-1,3]]`
3. `[[3,2,4],[2,0,2],[4,2,3]]`
4. `[[1,1,1],[-1,-3,-3],[2,4,4]]`
5. `[[2,3],[4,10]]`
6. `[[5,1],[4,2]]`
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Example1. Find Transforming matrix to Reduced Row Echelon Form ... `[[8,-6,2],[-6,7,-4],[2,-4,3]]`Solution:Reduced row echelon form Given matrix | | `8` | `-6` | `2` | | | `-6` | `7` | `-4` | | | `2` | `-4` | `3` | |
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`R_1 larr R_1-:8` = | | `1` | `-0.75` | `0.25` | | | `-6` | `7` | `-4` | | | `2` | `-4` | `3` | |
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`R_2 larr R_2+6xx R_1` = | | `1` | `-0.75` | `0.25` | | | `0` | `2.5` | `-2.5` | | | `2` | `-4` | `3` | |
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`R_3 larr R_3-2xx R_1` = | | `1` | `-0.75` | `0.25` | | | `0` | `2.5` | `-2.5` | | | `0` | `-2.5` | `2.5` | |
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`R_2 larr R_2xx0.4` = | | `1` | `-0.75` | `0.25` | | | `0` | `1` | `-1` | | | `0` | `-2.5` | `2.5` | |
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`R_1 larr R_1+0.75xx R_2` = | | `1` | `0` | `-0.5` | | | `0` | `1` | `-1` | | | `0` | `-2.5` | `2.5` | |
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`R_3 larr R_3+2.5xx R_2` = | | `1` | `0` | `-0.5` | | | `0` | `1` | `-1` | | | `0` | `0` | `0` | |
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