Proving similarity of $A$ and $A^T$
136329
A matrix is similar to its transpose
110086
Let $A$ be an $m \times n$ matrix. Show $A^TA$ and $AA^T$ have the same eigenvalues
32929
Questions about proving $\lnot \lnot a = a$
131609
Prove that $Au\cdot v = u\cdot A^Tv$
37924
Equivalence of norms proof
44912
Prove that $ \overline {A^\complement} = (A°)^\complement $
83452
Prove that any conjugate of $a$ has the same order as $a$.
117688
Prove that $\def\Aut{\operatorname{Aut}}\Aut(\mathbf{Z_{n}})\simeq \mathbf{Z_{n}^{*}}$
87265
If $(A-\lambda{I})$ is $\lambda$-equivalent to $(B-\lambda{I})$ then $A$ is similar to $B$
122663
Proving $T$ and $U$ are equal if I know $(X,T)$ and $(X,U)$ are hausdorff and compact
61066
Prove: $(A\rightarrow B),(A\rightarrow C)\rightarrow B, \mapsto_{HPC} B $
65395
Prove that if $\operatorname{rank}(T) = \operatorname{rank}(T^2)$ then $R(T) \cap N(T) = \{0\}$
60598
Matrix $A^T A$ as sum of outer products
43197
Showing that two definitions of $\limsup$ are equivalent
33030
Proof that $\inf A = -\sup(-A)$
147627
Relation between condition numbers $\kappa(A^T A)$ and $\kappa(A)$
76694
Proving that $UT=TU$ iff $U=g(T)$ for some polynomial $g$