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Invertible function
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A linear operator T is invertible if
det T ≠ 0.
An affine function is invertible is the corresponding linear operator is invertible. For example, supose
T( u, v ) = | 1 3 | | u | + | 1 | | 2 1 | | v | | 1 |,
then
| det T | = | 1 3 | = | 1 - 6 | = 5. | 2 1 |