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Aug 5, 2020 at 11:54 comment added vidyarthi great! a useful trick in evaluating some determinants
Aug 5, 2020 at 11:53 comment added Carlo Beenakker Since $X^2=1$, you can multiply $\det(\lambda-A)$ with $\det X^2=(\det X)^2$; and since the product of determinants is the determinant of the matrix product, you have $\det(\lambda-A)=\det[X(\lambda-A)X]=\det(\lambda X^2-XAX)$.
Aug 5, 2020 at 11:50 comment added vidyarthi how did you get $\det(\lambda I-A)=\det(\lambda X^2-XAX)$?
Aug 5, 2020 at 11:50 history edited Carlo Beenakker CC BY-SA 4.0
added 10 characters in body
Aug 5, 2020 at 11:47 vote accept Sascha
Aug 5, 2020 at 11:38 history edited Carlo Beenakker CC BY-SA 4.0
added 75 characters in body
Aug 5, 2020 at 11:37 history edited LSpice CC BY-SA 4.0
matri -> matrix
Aug 5, 2020 at 11:36 history answered Carlo Beenakker CC BY-SA 4.0