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Definition and examples
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Matrix operations
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Matrix Operation
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Matrix Multiplication 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 Multiplication calculator
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1. `A=[[2,3,1],[0,5,6],[1,1,2]]` and `B=[[2,1,-1],[1,0,-1],[1,1,2]]`. Find A * B 2. `A=[[2,3,1],[0,5,6],[1,1,2]]` and `B=[[2,1,-1],[1,0,-1],[1,1,2]]`. Find B * A 3. `A=[[2,3],[4,10]]` and `B=[[5,1],[4,2]]`. Find A * B 4. `A=[[5,1],[4,2]]` and `B=[[6,3],[4,5]]`. Find B * A
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Example1. Find `A × B` ... `A=[[3,1,1],[-1,2,1],[1,1,1]]`,`B=[[5,0,-2],[7,-6,0],[1,1,2]]`Solution:`A×B` | = | | `3` | `1` | `1` | | | `-1` | `2` | `1` | | | `1` | `1` | `1` | |
| × | | `5` | `0` | `-2` | | | `7` | `-6` | `0` | | | `1` | `1` | `2` | |
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= | | `3×5+1×7+1×1` | `3×0+1×-6+1×1` | `3×-2+1×0+1×2` | | | `-1×5+2×7+1×1` | `-1×0+2×-6+1×1` | `-1×-2+2×0+1×2` | | | `1×5+1×7+1×1` | `1×0+1×-6+1×1` | `1×-2+1×0+1×2` | |
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= | | `15+7+1` | `0-6+1` | `-6+0+2` | | | `-5+14+1` | `0-12+1` | `2+0+2` | | | `5+7+1` | `0-6+1` | `-2+0+2` | |
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= | | `23` | `-5` | `-4` | | | `10` | `-11` | `4` | | | `13` | `-5` | `0` | |
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