2 votes 2 votes If $P$ is an invertible matrix and $A=PBP^{-1},$ then which of the following statements are necessarily true? $B=P^{-1}AP$ $|A|=|B|$ $A$ is invertible if and only if $B$ is invertible $B^T=A^T$ Others cmi2018-datascience matrix linear-algebra + – soujanyareddy13 asked Jan 29, 2021 • retagged Feb 15, 2021 by soujanyareddy13 soujanyareddy13 473 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
2 votes 2 votes Pre multiplying and post multiplying both sides by P^-1 and P respectively, we can conclude that B=P^-1AP. Option A is correct iitian_ankit answered Feb 1, 2021 iitian_ankit comment Share Follow See all 0 reply Please log in or register to add a comment.