Is the matrix $a_{ij} = \frac{1}{i+j-1}$ Positive Definite?
48238
Prove the positive definiteness of Hilbert matrix
125195
If matrix A is invertible, is it diagonalizable as well?
86623
Why is $B^TB+\lambda\Omega$ positive definite?
98631
Postive-semidefiniteness of matrix with entries $1/(a_i+a_j)$
56936
$\frac{\partial f_i}{x_j}=\frac{\partial f_j}{x_i}\implies(f_1,\ldots,f_n)$ is a gradient
146316
what is no. of positive eigen value of symmetric matrix A with some given relationship
118417
Is $AA^T$ positive semidefinite?
146243
Does there exist a matrix $\mathbf{A}\in\mathbb{R}^{3\times3}$ such that $\mathbf{A}^{2}=-\mathbf{I}$?
153392
Let $A$ be a $n\times n$ matrix such that $a_{ij}=ij$,find the eigenvalues of the matrix $A$.
129564
Show that $A$ is an invertible matrix if $\left(A+I\right)^3=0$ and find $A^{-1}$
82962
Partial Ordering of Positive Definite Matrices
97733
Can it be determined that the sum of the diagonal entries, of matrix A, equals the sum of eigenvalues of A
5616
How can I prove the IFF condition for this group of matrices?
46308
Simultaneous diagonlisation of two quadratic forms, one of which is positive definite
114208
Does non-symmetric positive definite matrix have positive eigenvalues?
24454
The relationship between the eigenvalues of matrices $XY$ and $YX$
153127
Is $U=V$ in the SVD of a symmetric positive semidefinite matrix?