📚 noun • entry_id 42643
characteristic polynomial
Meanings (ES + gloss)
polinomio característico
The polynomial produced from a given square matrix by first subtracting the appropriate identity matrix multiplied by an indeterminant and then calculating the determinant.
The characteristic polynomial of (cc 1 4\3-5) is |cc 1-x 4\3-5-x|=x²+4x-17.
The characteristic polynomial of a 2×2 matrix M is λ²- mbox tr(M)λ+ mbox det(M), where mbox tr(M) denotes the trace of M and mbox det(M) denotes the determinant of M.
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