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How to create matrix from x^3-8*x^2-44*x-49 (polynomal data)

asked 2021-08-14 16:46:03 +0200

Feofan-kornica gravatar image

A=matrix([[2,4,5],[7,5,9],[3,2,1]]) A

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Welcome to Ask Sage! Thank you for your question.

slelievre gravatar imageslelievre ( 2021-08-15 00:12:10 +0200 )edit

Is your question how to find a matrix that has a specified characteristic polynomial?

slelievre gravatar imageslelievre ( 2021-08-15 00:12:38 +0200 )edit

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answered 2021-08-15 05:05:43 +0200

If p is a polynomial, then matrix.companion(p) returns a matrix which has p as its characteristic polynomial. Since such matrices are not unique, you shouldn't expect it to give the precise matrix that you've specified.

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Asked: 2021-08-14 16:46:03 +0200

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Last updated: Aug 14 '21