Prove a property of dot product in complex numbers
57318
Property of the conjugate transpose matrix with inner product
81571
Complex Exponent of Complex Numbers
158524
Complex numbers $z$ such that $|z|= 1$
154837
mapping properties of $(1−z)^i$
35564
Prove that $u\cdot v = \frac{1}{4}||u+v||^2 - \frac{1}{4}||u-v||^2 \forall u,v \in \mathbb{R^n}$
50342
Proving that a Function is Analytic Given that it is Equal to the Complex Conjugate of an analytic Function
24221
Complex numbers - minimum value proof
71442
How to prove $\det(I+uv^\intercal)=1+v^\intercal u$
56697
How to show that the given equation has at least one complex root ,a s.t |a|>12
157328
A complex analysis problem to prove an inequality
5526
Prove that $ℤ[i]^*= \{1,-1,i,-i\}$
154076
How to show this property of $\mathbb{RP}^{n}$.
158343
how to prove an element is non-zero in a tensor-product
139371
Sums of complex numbers - proof in Rudin's book
14815
How prove this $\prod_{1\le i<j\le n}\frac{a_{j}-a_{i}}{j-i}$ is integer
56311
Proving $(1+a_{2})^{2}(1+a_{3})^{3}\cdots(1+a_{n})^{n}\ge n^n$ for positive reals $a_2,\ldots, a_n$ whose product is $1$
81770
Determinant of an $n\times n$ complex matrix as an $2n\times 2n$ real determinant