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Definition and examples
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Matrix operations
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Matrix Operation
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Matrix Power calculator |
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Matrix A :
X
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- `[[1,0,0],[0,1,0],[0,0,1]]`
- `[[2,3,1],[0,5,6],[1,1,2]]`
- `[[2,1,-1],[1,0,-1],[1,1,2]]`
- `[[3,1,1],[-1,2,1],[1,1,1]]`
- `[[5,6,1],[0,2,3],[1,1,2]]`
- `[[5,-1,1],[-2,3,4],[1,1,7]]`
- `[[2,3,-1],[3,2,1],[1,-5,3]]`
- `[[1,1,1],[2,-1,-1],[1,-1,1]]`
- `[[1,1,1],[1,2,3],[1,4,9]]`
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Matrix B :
X
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- `[[1,0,0],[0,1,0],[0,0,1]]`
- `[[2,3,1],[0,5,6],[1,1,2]]`
- `[[2,1,-1],[1,0,-1],[1,1,2]]`
- `[[3,1,1],[-1,2,1],[1,1,1]]`
- `[[5,6,1],[0,2,3],[1,1,2]]`
- `[[5,-1,1],[-2,3,4],[1,1,7]]`
- `[[2,3,-1],[3,2,1],[1,-5,3]]`
- `[[1,1,1],[2,-1,-1],[1,-1,1]]`
- `[[1,1,1],[1,2,3],[1,4,9]]`
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Matrix C :
X
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- `[[1,0,0],[0,1,0],[0,0,1]]`
- `[[2,3,1],[0,5,6],[1,1,2]]`
- `[[2,1,-1],[1,0,-1],[1,1,2]]`
- `[[3,1,1],[-1,2,1],[1,1,1]]`
- `[[5,6,1],[0,2,3],[1,1,2]]`
- `[[5,-1,1],[-2,3,4],[1,1,7]]`
- `[[2,3,-1],[3,2,1],[1,-5,3]]`
- `[[1,1,1],[2,-1,-1],[1,-1,1]]`
- `[[1,1,1],[1,2,3],[1,4,9]]`
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Mode =
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Decimal Place =
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To solve simultaneous equations, enter B/A or AX=B or Use this link
Inverse Matrix method (for answer in better way)
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Solution
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Solution provided by AtoZmath.com
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Matrix Power calculator
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1. `[[2,3,1],[0,5,6],[1,1,2]]` 2. `[[2,1,-1],[1,0,-1],[1,1,2]]` 3. `[[3,1,1],[-1,2,1],[1,1,1]]` 4. `[[5,6,1],[0,2,3],[1,1,2]]`
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Example1. Find `A^2` ... `A=[[3,1,1],[-1,2,1],[1,1,1]]`Solution:`A^2` | = | `A×A` | = | | `3` | `1` | `1` | | | `-1` | `2` | `1` | | | `1` | `1` | `1` | |
| × | | `3` | `1` | `1` | | | `-1` | `2` | `1` | | | `1` | `1` | `1` | |
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= | | `3×3+1×-1+1×1` | `3×1+1×2+1×1` | `3×1+1×1+1×1` | | | `-1×3+2×-1+1×1` | `-1×1+2×2+1×1` | `-1×1+2×1+1×1` | | | `1×3+1×-1+1×1` | `1×1+1×2+1×1` | `1×1+1×1+1×1` | |
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= | | `9-1+1` | `3+2+1` | `3+1+1` | | | `-3-2+1` | `-1+4+1` | `-1+2+1` | | | `3-1+1` | `1+2+1` | `1+1+1` | |
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= | | `9` | `6` | `5` | | | `-4` | `4` | `2` | | | `3` | `4` | `3` | |
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`A^2` | = | | `3` | `1` | `1` | | | `-1` | `2` | `1` | | | `1` | `1` | `1` | |
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| = | | `9` | `6` | `5` | | | `-4` | `4` | `2` | | | `3` | `4` | `3` | |
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