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3. Rank of 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 Matrix Rank ...
`[[3,2,4],[2,0,2],[4,2,3]]`Solution:| Rank | | `3` | `2` | `4` | | | `2` | `0` | `2` | | | `4` | `2` | `3` | |
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Now, reduce this matrix interchanging rows `R_1 harr R_3` | = | | `4` | `2` | `3` | | | `2` | `0` | `2` | | | `3` | `2` | `4` | |
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`R_2 larr R_2-1/2xx R_1` | = | | `4` | `2` | `3` | | | `0` | `-1` | `1/2` | | | `3` | `2` | `4` | |
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`R_3 larr R_3-3/4xx R_1` | = | | `4` | `2` | `3` | | | `0` | `-1` | `1/2` | | | `0` | `1/2` | `7/4` | |
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`R_3 larr R_3+1/2xx R_2` | = | | `4` | `2` | `3` | | | `0` | `-1` | `1/2` | | | `0` | `0` | `2` | |
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The rank of a matrix is the number of non all-zeros rows `:. Rank = 3`
This material is intended as a summary. Use your textbook for detail explanation.Any bug, improvement, feedback then Submit Here
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