$f:M(n,\mathbb C) \to \mathbb C$ be a linear transformation such that $f(AB)=f(BA)$ , then $\exists k \in \mathbb C$ such that $f(A)=kTrace (A)$?
29583
Characterization of the trace function
20199
Find a surjective function $f:\mathbb{N}\to \mathbb{Q}$
90649
Consider $f(x)=mx$ and $g(x) =bx$ in which $m>0$ and $b>0$. Does there exist any homeomorphism $h$ such that $h \circ f$ = $g \circ h$
44685
Inner product on $C(\mathbb R)$
120035
Pattern in Isomorphisms between $\mathbb Z_m \times \mathbb Z_n$ and $\mathbb Z_{mn}$
75059
Let $T:\mathbb{R}^n\to \mathbb{R}^n$ be a linear transformation...
53432
What is the algebraic closure of $\mathbb F_q$?
62568
Does there exists an entire function $f: \mathbb C \to \mathbb C$ which is bounded on real line and imaginary line?
92211
When are $\mathbb Z_m$ and $\mathbb Z_n$ homomorphic?
55900
Is there a ring homomorphism $M_2(\mathbb Z)\to \mathbb Z$?
149328
A function such that $f:\mathbb C \to \mathbb C$ such that $f(z)f(iz)=z^2$ satisfies $f(z)+f(-z)=0$.(MADHAVA-2020)
63845
Diffeomorphism $f:U\to V$ then $Df:\mathbb{R^n}\to\mathbb{R^m}$ will be linear isomorphism hence $n=m$
64650
If $a\operatorname{Re}(f(z))+b\operatorname{Im}(f(z))=c$ then f is constant
14830
A transformation of F[x]
117131
Canonical Isomorphism Between $\mathbf{V}$ and $(\mathbf{V}^*)^*$
143354
Prove that there exists $c\in\mathbb{R}$ such that $f'(c)=f(c)$
17032
If $ab=ba$, Prove $a^2$ commutes with $b^2$