invertible linear transformation

An invertible linear transformation is a linear transformation $T:V⟶W$ 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.

Title	invertible linear transformation
Canonical name	InvertibleLinearTransformation
Date of creation	2013-03-22 12:19:16
Last modified on	2013-03-22 12:19:16
Owner	djao (24)
Last modified by	djao (24)
Numerical id	5
Author	djao (24)
Entry type	Definition
Classification	msc 15A04
Defines	invertible