Relation between rank and number of distinct eigenvalues
6746
What is the Relationship between the Rank and the Number of Eigenvalues?
51678
Proof that the largest eigenvalue of a stochastic matrix is $1$
104424
If each eigenvalueof $A$ is either $+1$ or $-1$ $ \Rightarrow$ $A$ is similar to ${A^{ - 1}}$
151332
If $A,B$ have eigenvalues $\pm1$, what can I say about the eigenvalues of $AB,BA$?
125889
Determinant of rank-one perturbations of (invertible) matrices
150387
Questions about matrix rank, trace, and invertibility
142202
eigenvalues of cycle graph and its complement graph
46128
Representation of Matrix with Rank 1
70528
Rank of a Matrix Sum
8627
Number of equivalence classes of $w \times h$ matrices under switching rows and columns
56670
The intuition behind generalized eigenvectors
60231
Number of equivalence classes of matrices under switching rows and columns
71040
If $ \operatorname{Tr}(M^k) = \operatorname{Tr}(N^k)\;\forall 1\leq k \leq n$, then how do we show the $M$ and $N$ have the same eigenvalues?
123803
If $X^n$ is a diagonal matrix with distinct eigenvalues, then is $X$ also a diagonal matrix with distinct eigenvalues?
60736
Looking for an intuitive explanation why the row rank is equal to the column rank for a matrix
88473
Proof that the trace of a matrix is the sum of its eigenvalues
49158
Multiplicity of eigenvalues