Petrus
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Hello MHB,
"Can we construct a $$4x4$$ Matrix $$B$$ so that rank $$B=4$$ but rank $$B^2=3$$"
My thought:
we got one condition for this to work is that det $$B=0$$ and det $$B^2 \neq 0$$ and B also have to be a upper/lower or identity Matrix. And this Will not work.. I am wrong or can I explain this in a better way?
Regards,
$$|\pi\rangle$$
"Can we construct a $$4x4$$ Matrix $$B$$ so that rank $$B=4$$ but rank $$B^2=3$$"
My thought:
we got one condition for this to work is that det $$B=0$$ and det $$B^2 \neq 0$$ and B also have to be a upper/lower or identity Matrix. And this Will not work.. I am wrong or can I explain this in a better way?
Regards,
$$|\pi\rangle$$