Timeline for A question on products of linear combinations of complex matrices
Current License: CC BY-SA 4.0
6 events
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| May 3, 2023 at 6:51 | comment | added | user493645 | @JosephVanName I understand this, but I would like to get the same $\Sigma$ ($U$ in your notation) for all $i$. This is stronger, but I think it is likely to be true: for $d=1$ (i.e., when $A_i, B_i \in \mathbb{C}$) it can be seen easily. | |
| May 2, 2023 at 16:46 | comment | added | Joseph Van Name | When we set $x_i=1$ and $x_j=0$ for $j\neq i$, we should get $A_iA_i^*=B_iB_i^*$. This implies that $A_i=B_iU_i$ for some unitary $U_i$. | |
| May 2, 2023 at 16:02 | history | edited | Christian Remling | CC BY-SA 4.0 |
added 16 characters in body
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| May 2, 2023 at 10:15 | history | edited | Rodrigo de Azevedo | CC BY-SA 4.0 |
Scalars are usually written to the left of matrices, lest they be confused for vectors
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| May 2, 2023 at 10:13 | comment | added | Fedor Petrov | Maybe $B=\Sigma A$? | |
| May 2, 2023 at 8:45 | history | asked | user493645 | CC BY-SA 4.0 |