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invertible linear transformation (Definition)

An invertible linear transformation is a linear transformation $T: V \longrightarrow W$ which is a bijection.

If $V$ and $W$ are finite dimensional, the linear transformation $T$ is invertible if and only if the matrix of $T$ is not singular.



"invertible linear transformation" is owned by djao.
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Also defines:  invertible
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Cross-references: singular, matrix, finite dimensional, bijection, linear transformation
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This is version 2 of invertible linear transformation, born on 2002-02-13, modified 2005-07-07.
Object id is 1935, canonical name is InvertibleLinearTransformation.
Accessed 13205 times total.

Classification:
AMS MSC: 15A04 (Linear and multilinear algebra; matrix theory :: Linear transformations, semilinear transformations)
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