Prove that a 3x3 matrix always has an eigenvector in $\mathbb R^3$
117808
A real nxn matrix always has a real eigenvalue when n is odd
19132
Similar matrices have the same eigenvalues with the same geometric multiplicity
110271
Given a matrix with non-negative real entries, can you algebraically prove that it has a non-negative eigenvalue?
86940
Proving an inequality in Eigenvalues of a matrix
81176
A normal matrix with real eigenvalues is Hermitian
3543
Prove set is basis for $R^3$
39256
Finding $\det(I+A^{100})$ where $A\in M_3(R)$ and eigenvalues of $A$ are $\{-1,0,1\}$
30358
Finding Jordan basis of a matrix ($3\times3$ example)
136643
Continuity of eigenvalues and spectral radius for a general matrix
16439
What are the eigenvalues of matrix that have all elements equal 1?
91636
Are all eigenvectors, of any matrix, always orthogonal?
98135
Show that the determinant of $A$ is equal to the product of its eigenvalues
52888
Find all values of a for which $\{v_1,v_2,v_3\}$ form a basis for ${\bf R}^3$
45527
Do real matrices always have real eigenvalues?
123424
Must eigenvector be real?
37162
Prove that matrices have equal rank.
106288
Prove that the eigenvalues of a block matrix are the combined eigenvalues of its blocks