How do you find two ordered bases, B and B' for the vector space $\mathbb C^n$ (Complex numbers over field $\mathbb R$) where one of the bases should not contain a $\mathbb R$-scalar multiple of a vector in the other basis? And then find an invertible matrix P such that for any v in $\mathbb C^n$, [v]B = P[v]B'
Finding ordered bases for a vector space $\mathbb C^n$
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linear-algebra
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0Can you give us some more context here? Do you have a particular basis in mind? What are you trying to accomplish by constructing this new basis? – 2017-02-15
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0Sure. I edited the question to add more context. – 2017-02-16