Unverified50% confidenceFactExact time
The spectral theorem states that any real symmetric matrix can be orthogonally diagonalized into the form A = QΛQ^T, where Q is an orthogonal matrix and Λ is a diagonal matrix of eigenvalues
1
Sources
50%
Confidence
Long-term
Relevance
9/3/2026
First Seen
Sources
Related Entities
Related Claims
UnverifiedHessian 矩阵的正定性可以从数学上判断一个临界点究竟是极小值、极大值还是鞍点71% similarUnverified正交矩阵是列向量彼此正交且长度为1、满足UᵀU=I的方阵，在几何上代表旋转或反射操作，改变向量方向但不改变长度71% similarUnverifiedThe Toeplitz–Hausdorff theorem guarantees that the numerical range of a matrix is always a convex compact set in the complex plane.69% similarUnverifiedAny m×n matrix A can be decomposed as A = U·Σ·Vᵀ, where U is an m×m orthogonal matrix, Σ is an m×n diagonal matrix, and Vᵀ is the transpose of an n×n orthogonal matrix.69% similarUnverified线性回归的闭式解为 w = (X^T X)^{-1} X^T y，涉及矩阵转置、矩阵乘法和矩阵求逆67% similar
Cite This Claim
Stable URI
https://kongchang.com/claim/851286API
curl https://kongchang.com/api/v1/knowledge/claims/851286MCP
get_claim(id=851286)