What's the meaning of characteristic in “characteristic polynomial”?












2














Why the polynomial that has the eigenvalues as roots called characteristic?
Is there any special meaning in the term "characteristic"?










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  • mathworld.wolfram.com/Characteristic.html
    – JMoravitz
    Nov 21 '18 at 2:10






  • 3




    For some historical context for use of "characteristic" as it relates to eigenvalues and such, see the "Earliest Known Uses of Some of the Words of Mathematics" pages under "eigenvalue".
    – Blue
    Nov 21 '18 at 2:34










  • Eigenvalues are sometimes called "characteristic values."
    – Qiaochu Yuan
    Nov 21 '18 at 4:27
















2














Why the polynomial that has the eigenvalues as roots called characteristic?
Is there any special meaning in the term "characteristic"?










share|cite|improve this question
























  • mathworld.wolfram.com/Characteristic.html
    – JMoravitz
    Nov 21 '18 at 2:10






  • 3




    For some historical context for use of "characteristic" as it relates to eigenvalues and such, see the "Earliest Known Uses of Some of the Words of Mathematics" pages under "eigenvalue".
    – Blue
    Nov 21 '18 at 2:34










  • Eigenvalues are sometimes called "characteristic values."
    – Qiaochu Yuan
    Nov 21 '18 at 4:27














2












2








2







Why the polynomial that has the eigenvalues as roots called characteristic?
Is there any special meaning in the term "characteristic"?










share|cite|improve this question















Why the polynomial that has the eigenvalues as roots called characteristic?
Is there any special meaning in the term "characteristic"?







eigenvalues-eigenvectors soft-question terminology






share|cite|improve this question















share|cite|improve this question













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share|cite|improve this question








edited Nov 21 '18 at 2:05









Henning Makholm

238k16303538




238k16303538










asked Nov 21 '18 at 2:02









alryosha

805




805












  • mathworld.wolfram.com/Characteristic.html
    – JMoravitz
    Nov 21 '18 at 2:10






  • 3




    For some historical context for use of "characteristic" as it relates to eigenvalues and such, see the "Earliest Known Uses of Some of the Words of Mathematics" pages under "eigenvalue".
    – Blue
    Nov 21 '18 at 2:34










  • Eigenvalues are sometimes called "characteristic values."
    – Qiaochu Yuan
    Nov 21 '18 at 4:27


















  • mathworld.wolfram.com/Characteristic.html
    – JMoravitz
    Nov 21 '18 at 2:10






  • 3




    For some historical context for use of "characteristic" as it relates to eigenvalues and such, see the "Earliest Known Uses of Some of the Words of Mathematics" pages under "eigenvalue".
    – Blue
    Nov 21 '18 at 2:34










  • Eigenvalues are sometimes called "characteristic values."
    – Qiaochu Yuan
    Nov 21 '18 at 4:27
















mathworld.wolfram.com/Characteristic.html
– JMoravitz
Nov 21 '18 at 2:10




mathworld.wolfram.com/Characteristic.html
– JMoravitz
Nov 21 '18 at 2:10




3




3




For some historical context for use of "characteristic" as it relates to eigenvalues and such, see the "Earliest Known Uses of Some of the Words of Mathematics" pages under "eigenvalue".
– Blue
Nov 21 '18 at 2:34




For some historical context for use of "characteristic" as it relates to eigenvalues and such, see the "Earliest Known Uses of Some of the Words of Mathematics" pages under "eigenvalue".
– Blue
Nov 21 '18 at 2:34












Eigenvalues are sometimes called "characteristic values."
– Qiaochu Yuan
Nov 21 '18 at 4:27




Eigenvalues are sometimes called "characteristic values."
– Qiaochu Yuan
Nov 21 '18 at 4:27










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