Proving that the adjoint of a general linear operator times said operator is a Hermitian on a complex vector space
134981
Eigenvalues of $L^\dagger L$ are positive
152932
Proof: $\det\pmatrix{\langle v_i , v_j \rangle}\neq0$ $\iff \{v_1,\dots,v_n\}~\text{l.i.}$
128229
Proving that the transformation obtained from an adjoint pair is natural
23095
Prove that T is a linear transformation
58572
Prove two commutative linear transformations on a vector space over an algebraically closed field can be simultaneously triangularized
121253
Prove that any complex matrix can be expressed in term of Hermitian and anti-Hermitian matrices
56102
Prove that there is no non-zero linear operator on $\mathbb C^{2}$ such that $(\alpha | T\alpha) = 0$
45130
Cyclic vector implies commuting linear operator is a polynomial
18839
Proof about inner product space $\vert \langle x,y\rangle \vert=\Vert x \Vert\Vert y \Vert$
75855
Show that $\det{(A + sxy^*)}$ is linear in $s$
73406
Prove that $E_{\lambda}(T)=E_{\lambda^{-1}}(T^{-1})$ if $T$ is an invertible linear operator on a finite dimensional vector space $V$
34700
Proving that the matrix exponential map is surjective onto the general linear group
55067
Norm of self-adjoint operator
116823
VERIFYING: Proving an $n \times n$ Matrix Vector Space
52791
Invertibility of an operator $T$ if $\|I-T\|<1$
122434
Adjoint of a matrix and inverse of a matrix
116558
Consider two linear operators $\hat{A}$ and $\hat{B}$. Show that $e^{\hat{A}}e^{\hat{B}}=e^{\hat{A}+\hat{B}}e^{[\hat{A},\hat{B}]/2}$