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Questions about the properties of vector spaces and linear transformations, including linear systems in general.
7
votes
Status of the Hadamard Circulant conjecture
Craigen and Jedwab have indicated that the September 2011 revision of Hurley, Hurley & Hurley also has a flaw:
https://www.sfu.ca/~jed/Papers/Craigen%20Jedwab.%20Circulant%20Hadamard%202.%20Preprint.p …
3
votes
Accepted
Norm of Moore-Penrose inverse of a product
Here’s a small counterexample involving two rank-deficient matrices $A$ and $B$: $$A = \left( {\begin{array}{*{20}c}
0 & { - 1} & 0 \\
0 & 0 & 0 \\
0 & { - 1} & 0 \\
\end{array}} \right), …