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Sudhanshu Kumar posted an Question
November 26, 2021 • 17:52 pm
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30 points
30 points
- IIT JAM
- Mathematics (MA)
Theorem: the characteristic polynomial of annxn matrix a has the form p(t) t-(trace a)tn-1 + (intermediate terms) + (-1)(deta) .
Theorem: The characteristiC polynomial of annxn matrix A has the form p(t) t-(trace A)tn-1 + (intermediate terms) + (-1)(detA) . please use this formula and explain how to find 4×4 and 5×5 matrix , characteristics polynomial. please I humbly request to you please help me
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Anonymous User![best-answer]()
in this formula / theorms we use only sum of all eigen values and product of all eigen values sum of all eigen values= tr(A) product of all eigen values=det(A)
find the characteristics polynomial of 4×4 matrix
finding char polynomial for 4X4 matrix,5x5 matrix so on defical so only this property use sum of all eigen values= tr(A) product of all eigen values=det(A)