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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
linear-algebra
eigenvalues-eigenvectors
Find a 3x3 matrix (if one exists) that has eigenvalues 1, 2, 3 and a determinant of 4.
linear-algebra
eigenvalues-eigenvectors
determinant
Meaning of $x^T A x$
linear-algebra
matrices
eigenvalues-eigenvectors
quadratic-forms
positive-semidefinite
Find a polynomial $P_{n}\in{\mathbb{C}[X]}$ such as $S_{n}=\ker P_{n}(D)$
linear-algebra
abstract-algebra
eigenvalues-eigenvectors
minimal-polynomials
Finding eigenvalues in almost tridiagonal matrix
eigenvalues-eigenvectors
matrix-decomposition
symmetric-matrices
tridiagonal-matrices
Do eigenvalues of a linear transformation over an infinite dimensional vector space appear in conjugate pairs?
linear-algebra
functional-analysis
eigenvalues-eigenvectors
infinite-matrices
Grassmann numbers as eigenvalues of nilpotent operators?
field-theory
eigenvalues-eigenvectors
exterior-algebra
superalgebra
Why an eigenspace is a linear subspace, if the zero vector is not an eigenvector?
linear-algebra
eigenvalues-eigenvectors
Eigenvalues of tridiagonal symmetric matrix with diagonal entries 2 and subdiagonal entries 1
linear-algebra
matrices
eigenvalues-eigenvectors
tridiagonal-matrices
Eigenvalue test faster than $O\left(n^3\right)$?
linear-algebra
matrices
eigenvalues-eigenvectors
computational-complexity
eigen decomposition of an interesting matrix
linear-algebra
combinatorics
matrices
graph-theory
eigenvalues-eigenvectors
do eigenvectors correspond to direction of maximum scaling?
eigenvalues-eigenvectors
Minimum eigenvalue and singular value of a square matrix
linear-algebra
matrices
eigenvalues-eigenvectors
numerical-linear-algebra
Why are the eigenvalues of these "bitwise XOR matrices" integers?
linear-algebra
matrices
eigenvalues-eigenvectors
eigenvalues of certain block matrices
linear-algebra
matrices
eigenvalues-eigenvectors
block-matrices
How to find the eigenvalues of a block-diagonal matrix?
linear-algebra
matrices
eigenvalues-eigenvectors
block-matrices
Is the set of matrices with constrained condition numbers a convex set?
linear-algebra
matrices
eigenvalues-eigenvectors
convex-analysis
condition-number
Minimize $x^T A x$, subject to $\|x\|=1$. Show that ${x^*}^TAx^*$ is the smallest eigenvalue of $A$ in magnitude
optimization
eigenvalues-eigenvectors
lagrange-multiplier
qcqp
Intuitive geometric explanation: existence of eigenvalue in odd dimension real vector space.
linear-algebra
geometry
eigenvalues-eigenvectors
linear-transformations
Finding eigenvalues of a square matrix
linear-algebra
matrices
eigenvalues-eigenvectors
characteristic-polynomial
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