Show that any zero trace matrix is ​similar to a null diagonal matrix.
52928
If $\mathrm{Tr}(A)=0$ then $T=R^{-1}AR$ has all entries on its main diagonal equal to $0$
57070
Dimensionality of null space when Trace is Zero
80751
diagonalisability of matrix few properties
12213
Similarity of real matrices over $\mathbb{C}$
33448
Proof if $AB+BA=0$ Then atleast one of the matrices are singular.
65783
Proving: "The trace of an idempotent matrix equals the rank of the matrix"
52208
Show that a matrix $A$ is singular if and only if $0$ is an eigenvalue.
41805
Can a matrix have a null space that is equal to its column space?
122580
If N is elementary nilpotent matrix, show that N Transpose is similar to N
127620
Matrix exponential of a traceless $2\times2$ complex matrix
88473
Proof that the trace of a matrix is the sum of its eigenvalues
20659
Is trace invariant under cyclic permutation with rectangular matrices?
58595
Existence of a G-invariant matrix
111550
Let $A$ be a square complex matrix of size $n$ then $\langle Ax,x\rangle=0$ for $\forall x \in \Bbb C^n$ $\iff A=0$
147903
Similar matrices-Identity
97733
Can it be determined that the sum of the diagonal entries, of matrix A, equals the sum of eigenvalues of A
1973
Traces of all positive powers of a matrix are zero implies it is nilpotent