New posts in eigenvalues-eigenvectors

Can someone help me understand how the addition and subtraction of matricies affects the eigenvalues? For example $B=A+A^{-1}-2I$ₙ

Find a 3x3 matrix (if one exists) that has eigenvalues 1, 2, 3 and a determinant of 4.

Meaning of $x^T A x$

Find a polynomial $P_{n}\in{\mathbb{C}[X]}$ such as $S_{n}=\ker P_{n}(D)$

Finding eigenvalues in almost tridiagonal matrix

Do eigenvalues of a linear transformation over an infinite dimensional vector space appear in conjugate pairs?

Grassmann numbers as eigenvalues of nilpotent operators?

Why an eigenspace is a linear subspace, if the zero vector is not an eigenvector?

Eigenvalues of tridiagonal symmetric matrix with diagonal entries 2 and subdiagonal entries 1

Eigenvalue test faster than $O\left(n^3\right)$?

eigen decomposition of an interesting matrix

do eigenvectors correspond to direction of maximum scaling?

Minimum eigenvalue and singular value of a square matrix

Why are the eigenvalues of these "bitwise XOR matrices" integers?

eigenvalues of certain block matrices

How to find the eigenvalues of a block-diagonal matrix?

Is the set of matrices with constrained condition numbers a convex set?

Minimize $x^T A x$, subject to $\|x\|=1$. Show that ${x^*}^TAx^*$ is the smallest eigenvalue of $A$ in magnitude

Intuitive geometric explanation: existence of eigenvalue in odd dimension real vector space.

Finding eigenvalues of a square matrix