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Adjoint matrix or adjugate matrix 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 `Adj(A)` ... `A=[[3,1,1],[-1,2,1],[1,1,1]]`Solution:`Adj(A)` | = | Adj | | `3` | `1` | `1` | | | `-1` | `2` | `1` | | | `1` | `1` | `1` | |
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= | | `+(2 × 1 - 1 × 1)` | `-(-1 × 1 - 1 × 1)` | `+(-1 × 1 - 2 × 1)` | | | `-(1 × 1 - 1 × 1)` | `+(3 × 1 - 1 × 1)` | `-(3 × 1 - 1 × 1)` | | | `+(1 × 1 - 1 × 2)` | `-(3 × 1 - 1 × (-1))` | `+(3 × 2 - 1 × (-1))` | |
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= | | `+(2 -1)` | `-(-1 -1)` | `+(-1 -2)` | | | `-(1 -1)` | `+(3 -1)` | `-(3 -1)` | | | `+(1 -2)` | `-(3 +1)` | `+(6 +1)` | |
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= | | `1` | `2` | `-3` | | | `0` | `2` | `-2` | | | `-1` | `-4` | `7` | |
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= | | `1` | `0` | `-1` | | | `2` | `2` | `-4` | | | `-3` | `-2` | `7` | |
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