$\mathbb{R}$-linear and $\mathbb{C}$-linear
48419
Difference between $\mathbb{R}$-linear and $\mathbb{C}$-linear maps
137011
showing $\psi: R\to \mathbb C$ is ring isomorphism.
53528
If $\ker f\subset \ker g$ where $f,g $ are non-zero linear functionals then show that $f=cg$ for some $c\in F$.
131082
Proof that $\mathbb R/[0,1]$ and $\mathbb R$ are homeomorphic
81229
Show that $(C([a,b]),\|{\cdot}\|_2)$ is not a complete normed vector space
91087
For which values $r, s \in \mathbb R$ is the set $\{u, v, w\}$ linearly independent?
92774
Prove that a linear subspace of $C([0,1])$ is closed
132653
How to show that $\mathfrak{sl}_n(\mathbb{R})$ and $\mathfrak{sl}_n(\mathbb{C})$ are simple?
41846
$(\mathbb{R}^n,\|\cdot\|_{p})$ is isometrically isomorphic to $(\mathbb{R}^n,\|\cdot\|_{q})$ iff $p=q,$
18379
Linear transformation $T:\mathbb{R}^{n}\rightarrow\mathbb{R}^{n}$ such that $T^{2}=\lambda T.$
33642
Finite dimensional subspace of $C([0,1])$
117533
$|A-\lambda I|$ and $|\lambda I-A|$
61375
Meaning of $\mathbb{R}[x]$
75855
Show that $\det{(A + sxy^*)}$ is linear in $s$
134442
Can a matrix in $\mathbb{R}$ have a minimal polynomial that has coefficients in $\mathbb{C}$?
41013
Subspace of $C^3$ that spanned by a set over C and over R
55752
Prove that $n+1$ vectors in $\mathbb{R}^n$ cannot be linearly independent