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Results tagged with linear-algebra
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user 104794
Questions about the properties of vector spaces and linear transformations, including linear systems in general.
0
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determinant of the hadamard inverse of a positive matrix
Let $A=(a_{ij})_{i,j=1}^n$ be a positive definite matrix with $a_{ij}>0$ for all $i, j$. Define the Hadamard inverse $A^{\circ -1}$ of $A$ as $(a_{ij}^{-1})_{i,j=1}^n$. Is it possible to decide whethe …
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3
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Norm and trace inequalities
If $A$ and $B$ are two positive definite matrices such that $\|A\| \leq \|B\|$ for every unitarily invariant norm $\| \cdot \|$, and $U$ is an $n\times k$ matrix with adjoint $V$ such that $VU = I_k$, …
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