How can I find matrices satisfying these commutation relations?
13371
Show that the Lie algebra generated by x, y with relations $ad(x)^2(y) = ad(y)^5(x) = 0$ is infinite dimensional and construct a basis
40478
If $C$ commutes with certain matrices $A$ and $B$, why is $C$ a scalar multiple of the identity?
22410
Find a symmetric matrix $B$ such that for every $3\times 1$ matrix $\text{x}$
136329
A matrix is similar to its transpose
29788
Eigenvalues of a matrix whose square equals its transpose
57731
Can commuting matrices $X,Y$ always be written as polynomials of some matrix $A$?
93531
Do commuting matrices share the same eigenvectors?
137209
Finding the Matrix of a Linear Operator Satisfying a Polynomial
57515
Similar matrices and field extensions
27778
Eigenvalues of a real skew symmetric matrix
108012
A matrix $M$ that commutes with any matrix is of the form $M=\alpha I$
121769
How to find the matrix representation of a linear tranformation
85581
Matrices commute if and only if they share a common basis of eigenvectors?
87136
All matrices which commute with all $2\times 2$ matrices
11566
Similar matrices and minimal polynomial
2874
Commuting in Matrix Exponential
96158
What's the associated matrix of this linear operator?