Prove that if $T:V \rightarrow U$ is an invertible linear transformation then the inverse $T^{-1}: U \rightarrow V$ is also linear
96995
Is the inverse of a linear transformation linear as well?
36567
$A^{T}A$ positive definite then A is invertible?
55388
Finding nilpotent and diagonalizable operators for a linear transformation $T$
95379
Prove that $V = V_1 \oplus V_2$ in the following
41520
Prove that $L(V,W)$ forms a vector space
118996
Prove that $T$ is an orthogonal projection
141286
When is $\mathbf{X}^{T}\mathbf{X}+\lambda\mathbf{I}$ invertible?
146795
Proof If $AB-I$ Invertible then $BA-I$ invertible.
69509
Showing a Linear Transformation is invertible
77891
$(U\circ T)^{*} = T^{*}\circ U^{*}$
129564
Show that $A$ is an invertible matrix if $\left(A+I\right)^3=0$ and find $A^{-1}$
109228
Prove that $v, Tv, T^2v, ... , T^{m-1}v$ is linearly independent
62887
Proof that a linear transformation is continuous
61484
Continuously invertible operators
128229
Proving that the transformation obtained from an adjoint pair is natural
5758
Prove that $I+\lambda A$,$I+\lambda B$,$I+\lambda C$ are invertible and A=B=C
118049
Show that $\mathbb{R}^{\mathbb{R}} = U_{e} \oplus U_{o}$