Show that the given linear transformation is invertble
10042
How to Show that Linear transformation is invertible?
145125
How to prove that $A^{-1} + B^{-1}$ is invertible given the conditions
131480
Proof that composition of invertible linear transformations is invertible (without determinants)
146487
Can a non-square matrix be called "invertible"?
51209
A linear transformation satisfying $P^2 = P$
55018
Prove that $A^*A + I$ is invertible
18585
Showing $A-I$ is invertible, when $A$ is a skew-symmetric matrix
74341
Proving an invertible matrix which is its own inverse has determinant $1$ or $-1$
151046
Closure of the invertible operators on a Banach space
125435
Practical application for linear transformations
80279
Show that $S + T$ and $aT$ are linear
58491
Proving the inverse of a matrix as a polynomial of matrices
34700
Proving that the matrix exponential map is surjective onto the general linear group
113109
Showing that a map is bijective and finding its inverse
88013
injective linear transformation basis.
106398
If $A$ is invertible show that $\det(A) \neq 0$
94077
Proof of linear independence of $e^{at}$