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    keerti1vardhan's Avatar
    keerti1vardhan Posts: 1, Reputation: 1
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    #1

    Apr 11, 2010, 08:05 AM
    does every polynomial is a characteristic equation of some matrix
    find a matrix whose characteristic polynomial is
    x^3+x^2+1 = 0
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
    Ultra Member
     
    #2

    Apr 12, 2010, 02:33 AM

    Remember

    gives the charpoly.

    Your cubic has two complex and one real solution. The matrix will be 3-by-3

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