Ellipsoids and positive semidefiniteness
139011
How to prove $B-A \succeq 0 \Leftrightarrow$ ellipsoid $x^TBx \leq 1$ contains $x^TAx \leq 1$?
29849
How can I show that $\sup(AB)\geq\sup A\sup B$ for $A,B\subset\mathbb{R}$ where $A\cup B$ is positive and bounded?
95250
Proof a special extension on the isoperimetric theorem
98656
Geometric multiplicity of the largest eigenvalue
898
Strictly diagonally dominant matrices are non singular
87318
Why are symmetric positive definite (SPD) matrices so important?
155004
Maximal points on an $n$-dimensional ellipsoid
27668
Finding nonnegative solutions to an underdetermined linear system
56081
Prove that the ellipsoid $E = \{ (x,y,z) \in R^3 \mid \frac{x^2}{a^2} + \frac{y^2}{b^2} + \frac{z^2}{c^2} \leq 1 \}$ is convex
14799
How to show that the spherical metric satisfies the triangle inequality?
51834
Positivity of a determinant
75215
Properties of invertible matrices
82962
Partial Ordering of Positive Definite Matrices
48238
Prove the positive definiteness of Hilbert matrix
143793
If $A$ is symmetric, then the matrix exponential $e^{A}$ is positive definite
73471
Positive semidefinite cone is generated by all rank-$1$ matrices.
146405
Norm with symmetric positive definite matrix