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Sep 6, 2024 at 16:26 comment added Sajjad Could you please add the details to the answer? What will be the vector $x$ in that case ?
Sep 6, 2024 at 15:54 comment added Vladimir Lysikov Then I believe it will be diagonal in the basis $(1, \alpha i, \beta i, -\alpha\beta)$ where $\alpha, \beta = \pm 1$
Sep 6, 2024 at 14:39 comment added Sajjad Assuming $a = e$ and $c = f$, how that matrix will be also simplified?
Sep 6, 2024 at 9:49 comment added Vladimir Lysikov No, for this we would need $a = e$ and $c = f$.
Sep 6, 2024 at 9:44 comment added Sajjad I think the last equation is block diagonal matrix where each block has same structure of the main matrix, can it also be simplified to have diagonal matrix ?
Sep 6, 2024 at 9:41 comment added Sajjad Thank you so much, I will try to generalize that suggestions for bigger matrices with same structure, and feedback you
Sep 6, 2024 at 9:40 vote accept Sajjad
Sep 6, 2024 at 8:43 history edited Rócherz CC BY-SA 4.0
Changed one word
Sep 6, 2024 at 8:14 comment added Vladimir Lysikov I edited so that it works for complex numbers.
Sep 6, 2024 at 8:13 history edited Vladimir Lysikov CC BY-SA 4.0
added 141 characters in body
Sep 6, 2024 at 7:37 comment added Sajjad What's about if the matrix $A$ has complex values? Sorry, I forgot to mention that matrix $A$ has complex values.
Sep 6, 2024 at 7:13 history edited Vladimir Lysikov CC BY-SA 4.0
edited body
Sep 6, 2024 at 6:57 history answered Vladimir Lysikov CC BY-SA 4.0