SVD definition of pseudoinverse: $A^+ b$ is as close as possible to $y$ in terms of the Euclidean norm $\lVert Ax-b\rVert_2$
114883
Limit definition of pseudoinverse: $A^+ b$ is as close as possible to $y$ in terms of the Euclidean norm $\lVert Ax-b\rVert_2$
64741
The square root of positive definite matrix
123665
A question in Subspaces in linear algebra
33944
Describe $\mathbb{R}[x]/(x^{2}+ax+b)$ where $a,b \in \mathbb{R}$
137743
Invariance of cross ratio under Möbius transformation and another problem related to cross ratio.
144019
A strictly positive operator is invertible
153372
Characterization of positive definite matrix with principal minors
92746
$\Delta \mathbf n = -2 \mathbf n$ on the Euclidean sphere
30017
Orthogonality and linear independence
110472
Existence of a Pivot Point in Euclidean Geometry
76297
What is the inverse of the $\mbox{vec}$ operator?
42427
Understanding linear algebra in Ordinary Least Squares derivation
1316
Reverse Triangle Inequality in vector space
18195
Understanding of the theorem that all norms are equivalent in finite dimensional vector spaces
138944
Is $\mathbb Z[\sqrt{-3}]$ Euclidean under some other norm?
90350
How can we replace $\sup$ with $\max$ in definition of subordinate norm for finite-dimensional vector space?
153127
Is $U=V$ in the SVD of a symmetric positive semidefinite matrix?