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Questions about the properties of vector spaces and linear transformations, including linear systems in general.

10 votes
Accepted

Singular values of sequence of growing matrices

First let's change the matrix $H$ to $H=\frac{1}{2}\left(\begin{array}{cc}I_2 & I_2 \\ I_2& P_2\end{array}\right)$, where $P_2$ is a 2x2 permutation matrix. This swapping of the rows of $H$ won't af …
2 votes

A curious eigenvalue inequality

I still don't have enough reputations points to comment but here is another related iteration. Geometrically the inequality says that using the matrix $U$ to transform $A$ moves the hyperellipse asso …
rucarden's user avatar