7-3 ?陣?特徵???

w@} AASxh $|A-xI|$Cڭ̥i MATLAB O poly ӭpSxhAҦpG

Example 1: 07-hBzPR/poly01.mA = [1 3 4; 2 4 1; 1 6 2]; p = poly(A)p = 1.0000 -7.0000 -2.0000 -25.0000

䤤 $p(x)= x^3-7x^2-2x-25$ Yx} A SxhC

SxhڧYx} A SxȡAipUG

Example 2: 07-hBzPR/poly02.mA = [1 3 4; 2 4 1; 1 6 2]; p = poly(A); % }Sxh r = roots(p); % Sx{ڡAYT det(A-r(1)*eye(3)) det(A-r(2)*eye(3)) det(A-r(3)*eye(3))ans = -5.1682e-013 ans = -4.0233e-014 +1.3232e-014i ans = -4.0233e-014 -1.3232e-014i

ѤWzdҥioASx{ڷ| $A-rI$ CȬsA$r$ Pɤ]O} A SxȩΩTȡ]Eigenvalues^C

Hint
ieigOӪp} A SxȤίSxVqC


MATLAB{]pGig