PlanetMath: invertible linear transformation

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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 and are finite dimensional, the linear transformation is invertible if and only if the matrix of 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 9858 times total.

Classification:

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

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