Question: Prove: If A is a square matrix and p () = det(I - A) is the characteristic polynomial of A, then the coefficient of n-1

Prove: If A is a square matrix and p (λ) = det(λI - A) is the characteristic polynomial of A, then the coefficient of λn-1 in p (A) is the negative of the trace of A.

Step by Step Solution

3.45 Rating (177 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Since det I A is a sum of signed elementary produc... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Document Format (1 attachment)

Word file Icon

938-M-L-A-E (1379).docx

120 KBs Word File

Students Have Also Explored These Related Linear Algebra Questions!