| 1. | The Laplace transform is invertible on a large class of functions.
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| 2. | In practice however, one may encounter non-invertible matrices.
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| 3. | In particular, every non-zero fractional ideal is invertible.
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| 4. | Not all matrices have an inverse ( see invertible matrix ).
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| 5. | Notice that the polar decomposition of an invertible matrix is unique.
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| 6. | A transformation monoid whose elements are invertible is a permutation group.
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| 7. | This argument can be applied to, so it also invertible.
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| 8. | Moreover by definition is invertible if and only if is invertible.
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| 9. | Moreover by definition is invertible if and only if is invertible.
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| 10. | A matrix that is not invertible has condition number equal to infinity.
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