Proof of inner product property: $\langle Ax,x \rangle = \langle x,A^Tx \rangle$
57318
Property of the conjugate transpose matrix with inner product
56818
Prove that if $A$ is positive, then $\exists\;\alpha>0$ such that $\langle Ax, x \rangle\geq \alpha|x|^2$ for $x\in\Bbb{R}^n$
100845
How to prove that $G(x)=ax+b$ is a one-to-one correspondence where $a\neq0$ and $a,b\in\mathbb{R}$.
114510
Inner Product Spaces
121802
Prove that every self-adjoint unitary linear operator can be expressed in the form $U\alpha = \beta - \gamma$
111122
Proof of a theorem in Hilbert's system
16692
a representation condition of Hilbert space
71187
How to prove $\hat{p}|x\rangle=i\hbar\frac{\partial}{\partial x}|x\rangle$,using $[\hat{x},\hat{p}]=i\hbar$?
71064
How to prove that $\langle Av,w\rangle=\langle v,A^Tw\rangle$?
62123
Proving that Tensor Product is Associative
91622
Help with proof that $\mathbb Z[i]/\langle 1 - i \rangle$ is a field.
140835
Inner Product Space Inequality
101861
How do you prove that $tr(B^{T} A )$ is a inner product?
86717
Completeness of $\langle \mathscr{C} [0, 1], \| \cdot \|_1 \rangle$
81879
$Av=λv$ basis proof problems
57619
Norms Induced by Inner Products and the Parallelogram Law
88153
Finding all inner products on $\mathbb{R}^2$ for which a given linear map is orthogonal