Suppose a matrix $A$ has two distinct eigenvalues
128453
If $A$ has two eigenvalues $\lambda _1, \lambda_2$ and $\dim (E_{\lambda_1})=n-1$, then $A$ is diagonalizable
109675
Finite sum of eigenspaces (with distinct eigenvalues) is a direct sum
135316
A basic question on diagonalizability of a matrix
16439
What are the eigenvalues of matrix that have all elements equal 1?
106288
Prove that the eigenvalues of a block matrix are the combined eigenvalues of its blocks
86721
Find the eigenvalues of a matrix with ones in the diagonal, and all the other elements equal
10828
If $A^2 = I$, then $A$ is diagonalizable, and is $I$ if $1$ is its only eigenvalue
153392
Let $A$ be a $n\times n$ matrix such that $a_{ij}=ij$,find the eigenvalues of the matrix $A$.
94424
Matrices and Eigenvalues of Norm
123803
If $X^n$ is a diagonal matrix with distinct eigenvalues, then is $X$ also a diagonal matrix with distinct eigenvalues?
145342
Why do the eigenvectors for two similar matrixes differ by a large amount
104424
If each eigenvalueof $A$ is either $+1$ or $-1$ $ \Rightarrow$ $A$ is similar to ${A^{ - 1}}$
88473
Proof that the trace of a matrix is the sum of its eigenvalues
33591
Product of two matrices sharing the same eigenvector
149086
Determining $\mbox{tr}(A)$ and $\det(A)$ as functions of the eigenvalues of a matrix
126337
Eigenvalues in orthogonal matrices
158724
Show that $B$ is diagonalizable if If $AB=BA$ and $A$ has distinct real eigenvalues