Mathematics, 22.08.2019 03:10, Guest4747
Suppose that a = pdp^-1. prove that det(a) = det(d). 6. suppose that a and b are nxn matrices that can be diagonalized with the same invertible matrix p (but with possibly different diagonal matrices d. prove that ab = ba. . hank
Answers: 3
, where 
and 
are two square matrices. 
. Now, recall that [\det(Id) = \det(P)\det(P^{-1})[/tex], where 
stands for the identity matrix. But 
, thus 
and 
are reciprocal to each other.
and 
. Then
, from where the statement readily follows. 
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Suppose that a = pdp^-1. prove that det(a) = det(d). 6. suppose that a and b are nxn matrices that c...
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