characteristic polynomial
短语特征多项式
词形变化
释义与例句
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1.
The polynomial produced from a given square matrix by first subtracting the appropriate identity matrix multiplied by an indeterminant and then calculating the determinant.
特征多项式
数学The characteristic polynomial of a 2#92;times 2 matrix M is #92;lambda²-#92;mbox#123;tr#125;(M)#92;lambda#43;#92;mbox#123;det#125;(M), where #92;mbox#123;tr#125;(M) denotes the trace of M and #92;mbox#123;det#125;(M) denotes the determinant of M.
The characteristic polynomial of a 3#92;times 3 matrix M is -#92;lambda³#43;#92;mbox#123;tr#125;(M)#92;lambda²-#92;mbox#123;tr#125;(#92;mbox#123;adj#125;(M))#92;lambda#43;#92;mbox#123;det#125;(M), where #92;mbox#123;adj#125;(M) denotes the adjugate of M.
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2.
A polynomial P(r) corresponding to a homogeneous, linear, ordinary differential equation P(D) y = 0 where D is a differential operator (with respect to a variable t, if y is a function of t).
数学