Calculations with operators - Proof: Equation of Operators
123275
Prove $[A,B^n] = nB^{n-1}[A,B]$
44371
Finding trace and determinant of linear operator
122213
Proving that if $\langle Ax,x\rangle =0$ for every $x$, then $A$ is the zero operator
104258
Proof Verification: $\dim\mathrm{Im} T+\dim\ker T=\dim V$
46669
How can I prove these are the adjoint operators?
93550
How to find the matrix representation of an operator from its action on a basis?
122853
Show that $\operatorname{rank}(A) = \operatorname{rank}(B)$
61604
$V = V_1 + V_2$ confusion? Why is my "proof "incorrect?
94077
Proof of linear independence of $e^{at}$
71064
How to prove that $\langle Av,w\rangle=\langle v,A^Tw\rangle$?
12802
Proof of correctness of normal equation
87441
Proof involving matrix equation
11509
Relationship between $\operatorname{ord}(ab), \operatorname{ord}(a)$, and $\operatorname{ord}(b)$
81040
proof about commutative operators and T-cyclic vectors
146984
Prove: Full Rank and a solution os linear system
5526
Prove that $ℤ[i]^*= \{1,-1,i,-i\}$
24177
Is there a comprehensive list of functions with operator forms?