Is $\langle A,B\rangle =\operatorname{trace}(AB^T)$ an inner product in $\mathbb R^{n\times m}$?
101861
How do you prove that $tr(B^{T} A )$ is a inner product?
152932
Proof: $\det\pmatrix{\langle v_i , v_j \rangle}\neq0$ $\iff \{v_1,\dots,v_n\}~\text{l.i.}$
13682
Is $\langle a,b \mid a^2b^2=1 \rangle$ a semidirect product of $\mathbb{Z}^2$ and $\mathbb{Z}_2$?
102935
Trace and determinant of composition of a left-multiplication and a right-multiplication on a space of matrices
143608
Show the Trace$(B)^{2} \leq$ nTrace$(B^{T}B)$
27865
What is the number of invertible $n\times n$ matrices in $\operatorname{GL}_n(F)$?
30569
Prove that the only operator on $\mathbb{C}$ for which his inner product is zero is zero
71316
Two inner products being equal up to a scalar
129732
What is $\operatorname{Aut}(\mathbb{Z}_2\oplus \mathbb{Z}_2)$?
32606
Is the operator $T((x_1,x_2,...,x_n))=(x_1,\frac{x_2}2,\frac{x_3}3,...)$ on $\ell^2$ self-adjoint and unitary
45179
When does the isomorphism $G\simeq \ker(\phi)\times \operatorname{im}(\phi)$? hold?
102871
$\langle r\rangle$ maximal $\iff r$ irreducible
76100
Showing that $\left\langle a,b \mid abab^{-1}\right\rangle \cong \pi_1(K) \cong \left\langle c,d \mid c^2 d^2 \right\rangle$
68951
Normalization of the overlap $\langle x'|p'\rangle$
90757
$T$ self-adjoint on Hilbert space $H$, $T^n=T^{n+1}$ will $T$ be an orthogonal projection operator?
9140
Show $\operatorname{Aut}(C_2 \times C_2)$ is isomorphic to $S_3=D_6$
79276
Find $\min(\operatorname{trace}(AA^T))$ for invertible $A_{n\times n}$