Show that the system of all matrices of the special form is isomorphic to the field of complex number.
139162
Complex number isomorphic to certain $2\times 2$ matrices?
18145
Diagonalizable matrices with complex values are dense in set of $n\times n$ complex matrices.
115663
Proving an isomorphism using the isomorphism theorems
57318
Property of the conjugate transpose matrix with inner product
76496
Showing that every field is an integral domain.
11857
$A$ be a complex $3\times 3$ matrix such that $A^3=-I$
30889
Classifying complex $2\times 2$ matrices up to similarity
127620
Matrix exponential of a traceless $2\times2$ complex matrix
74024
Higher dimensional equivalent of complex numbers
109596
Isomorphism from $\mathrm{Aut}(\mathbb{Z}/2\mathbb{Z}\times \mathbb{Z}/2\mathbb{Z})$ to $S_3$
121987
Direct proof that nilpotent matrix has zero trace
146715
A square matrix has the same minimal polynomial over its base field as it has over an extension field
79425
Prove the direct product of nonzero complex numbers under multiplication.
137718
Prove that the complex expression is real
4517
Showing a $2\times2$ matrix is invertible
18540
Isomorphism from $\mathbb{C}[G]$ to $\prod_{i=1}^h M_{n_i}(\mathbb{C})$.
85752
Show that $M=\frac{\mathbb{Z}^3}{\langle (3,3,1),(2,2,2)\rangle}$ is isomorphic to $\mathbb{Z} \oplus \mathbb{Z}_4$ as $\mathbb{Z}$-modules