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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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