Find the matrix represented by (A^5)-(4*A^4)-(7×A^3)+(11×A^2)-A-(10×I) [closed]

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Can any one please explain how to find matrix when it's characteristic polynomial is given




linear-algebra




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closed as off-topic by TheSimpliFire, Lord Shark the Unknown, uniquesolution, Math1000, Claude Leibovici Jul 25 at 5:41


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    Can any one please explain how to find matrix when it's characteristic polynomial is given




    linear-algebra




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    closed as off-topic by TheSimpliFire, Lord Shark the Unknown, uniquesolution, Math1000, Claude Leibovici Jul 25 at 5:41


    This question appears to be off-topic. The users who voted to close gave this specific reason:


    • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – TheSimpliFire, uniquesolution, Math1000, Claude Leibovici
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      Can any one please explain how to find matrix when it's characteristic polynomial is given




      linear-algebra




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      Can any one please explain how to find matrix when it's characteristic polynomial is given





      linear-algebra





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      asked Jul 25 at 5:23









      bharathi b

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      closed as off-topic by TheSimpliFire, Lord Shark the Unknown, uniquesolution, Math1000, Claude Leibovici Jul 25 at 5:41


      This question appears to be off-topic. The users who voted to close gave this specific reason:


      • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – TheSimpliFire, uniquesolution, Math1000, Claude Leibovici
      If this question can be reworded to fit the rules in the help center, please edit the question.




      closed as off-topic by TheSimpliFire, Lord Shark the Unknown, uniquesolution, Math1000, Claude Leibovici Jul 25 at 5:41


      This question appears to be off-topic. The users who voted to close gave this specific reason:


      • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – TheSimpliFire, uniquesolution, Math1000, Claude Leibovici
      If this question can be reworded to fit the rules in the help center, please edit the question.




















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          The characteristic polynomial is in and of itself insufficient to determine the originating matrix. Perhaps the easiest way to see this is to contemplate the fact that in addition to eigenvalues, eigenvectors are also required to specify a matrix, and the characteristic polynomial says very little about eigenvectors.






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            1 Answer
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            up vote
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            The characteristic polynomial is in and of itself insufficient to determine the originating matrix. Perhaps the easiest way to see this is to contemplate the fact that in addition to eigenvalues, eigenvectors are also required to specify a matrix, and the characteristic polynomial says very little about eigenvectors.






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              up vote
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              The characteristic polynomial is in and of itself insufficient to determine the originating matrix. Perhaps the easiest way to see this is to contemplate the fact that in addition to eigenvalues, eigenvectors are also required to specify a matrix, and the characteristic polynomial says very little about eigenvectors.






              share|cite|improve this answer























                up vote
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                up vote
                1
                down vote









                The characteristic polynomial is in and of itself insufficient to determine the originating matrix. Perhaps the easiest way to see this is to contemplate the fact that in addition to eigenvalues, eigenvectors are also required to specify a matrix, and the characteristic polynomial says very little about eigenvectors.






                share|cite|improve this answer













                The characteristic polynomial is in and of itself insufficient to determine the originating matrix. Perhaps the easiest way to see this is to contemplate the fact that in addition to eigenvalues, eigenvectors are also required to specify a matrix, and the characteristic polynomial says very little about eigenvectors.







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                answered Jul 25 at 5:40









                Robert Lewis

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                36.9k22155












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