- #1
franky2727
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my question is what is meant by saying that A and B are similar where A and B are nxn matrices with entries in field F, also show that is A~B then A^2~b^2
first bit i have the definition for A~B is they are nxn matrices in the same field and there exists a non-singular square matrix P such that B=P^-1AP
however i have no ideas about the second part, its only revision not homework so could someone please define this for me? thanks
first bit i have the definition for A~B is they are nxn matrices in the same field and there exists a non-singular square matrix P such that B=P^-1AP
however i have no ideas about the second part, its only revision not homework so could someone please define this for me? thanks