New posts in eigenvalues-eigenvectors

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?

linear-algebra matrices eigenvalues-eigenvectors

Prove that if the sum of each row of $A$ equals $s$, then $s$ is an eigenvalue of $A$.

matrices eigenvalues-eigenvectors

Non-zero eigenvalues of $AA^T$ and $A^TA$

linear-algebra matrices eigenvalues-eigenvectors

The eigenvalues and corresponding eigenvectors for the matrix

matrices eigenvalues-eigenvectors

question on left and right eigenvectors

linear-algebra eigenvalues-eigenvectors

If $A,B$ have eigenvalues $\pm1$, what can I say about the eigenvalues of $AB,BA$?

linear-algebra eigenvalues-eigenvectors

Primes approximated by eigenvalues?

prime-numbers eigenvalues-eigenvectors arithmetic-functions

Prove that the eigenvalues of a block matrix are the combined eigenvalues of its blocks

matrices eigenvalues-eigenvectors block-matrices

Minimal polynomials and characteristic polynomials [duplicate]

linear-algebra matrices eigenvalues-eigenvectors minimal-polynomials characteristic-polynomial

Explain proof that any positive definite matrix is invertible

linear-algebra proof-writing eigenvalues-eigenvectors

Eigenvectors for shear matrix and diagonalizing.

linear-algebra matrices eigenvalues-eigenvectors diagonalization

Relationship between eigendecomposition and singular value decomposition

linear-algebra matrices eigenvalues-eigenvectors svd symmetric-matrices

Do non-square matrices have eigenvalues?

eigenvalues-eigenvectors

Eigenvalues of block matrix $\begin{bmatrix}0 &A\\A&0\end{bmatrix}$

linear-algebra matrices eigenvalues-eigenvectors block-matrices

Calculating SVD by hand: resolving sign ambiguities in the range vectors.

linear-algebra matrices eigenvalues-eigenvectors matrix-decomposition svd

Understanding bases for eigenspaces of a matrix

linear-algebra eigenvalues-eigenvectors

What do the eigenvectors of an adjacency matrix tell us?

graph-theory eigenvalues-eigenvectors spectral-graph-theory

Can a real symmetric matrix have complex eigenvectors?

linear-algebra matrices complex-numbers eigenvalues-eigenvectors symmetric-matrices

What are the eigenvalues of matrix that have all elements equal 1? [duplicate]

linear-algebra matrices eigenvalues-eigenvectors

A $\{0,1\}$-matrix with positive spectrum must have all eigenvalues equal to $1$

linear-algebra eigenvalues-eigenvectors alternative-proof