Inverse Linear Transformation

Topics: Algebra - Linear Transformation - Vector Space

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If $T$ is bijective, then it’s invertible and there exists an inverse transformation of $T$ denoted by $T^{-1}$.

If $T:V\to W$ is linear, then $T^{-1}:W\to V$ is also linear.

If $T:V\to W$ is an isomorphism, then $T^{-1}:W\to V$ is also an isomorphism.