If A has three distinct eigenvalues, does that mean that they also linearly independant?
64395
If $v_1,...,v_r$ are eigenvectors that correspond to distinct eigenvalues, then they are linearly independent.
66729
For a square matrix $A$ presence of $n$ linearly independent eigenvectors implies full rank, thereby invertible?
149923
eigenvalues of A - aI in terms of eigenvalues of A
42495
Determine if the following sets of vectors are linearly independent
136643
Continuity of eigenvalues and spectral radius for a general matrix
88975
I need an intuitive explanation of eigenvalues and eigenvectors
62058
How to prove $1$,$\sqrt{2},\sqrt{3}$ and $\sqrt{6}$ are linearly independent over $\mathbb{Q}$?
124583
A question about eigenvalues of $5\times5$ matrix
7376
Find $\det(A^{2}+A^{T})$ when eigenvalues are $1,2,3$
95717
Same eigenvalues, but not similar
29788
Eigenvalues of a matrix whose square equals its transpose
135420
Determining eigenvalues, eigenvectors of $A\in \mathbb{R}^{n\times n}(n\geq 2)$.
102317
Is there a geometrical interpretation to the notion of eigenvector and eigenvalues?
123679
General Information about Eigenvalues for an 3x3 symmetric matrix
16562
what are the eigenvalues in orthgonal matrix, How to explain?
76477
Eigenvalues with transpose question.
96354
Linear independence of $\sin(x)$, $\sin(2x)$, $\sin(3x)$ in Map($\mathbb{R},\mathbb{R}$)