Matlab习题练习1(5)

2019-08-30 21:43

*c-a^4*d^3*b^2*e-a^4*d^3*c^2*b+a^4*d^3*c^2*e+a^4*d^3*e^2*b-a^4*d^3*e^2*c-a^4*e^3*b^2*c+a^4*e^3*b^2*d+a^4*e^3*c^2*b-a^4*e^3*c^2*d-a^4*e^3*d^2*b+a^4*e^3*d^2*c-b^4*a^3*c^2*d+b^4*a^3*c^2*e+b^4*a^3*d^2*c-b^4*a^3*d^2*e-b^4*a^3*e^2*c+b^4*a^3*e^2*d+b^4*c^3*a^2*d-b^4*c^3*a^2*e-b^4*c^3*d^2*a+b^4*c^3*d^2*e+b^4*c^3*e^2*a-b^4*c^3*e^2*d-b^4*d^3*a^2*c+b^4*d^3*a^2*e+b^4*d^3*c^2*a-b^4*d^3*c^2*e-b^4*d^3*e^2*a+b^4*d^3*e^2*c+b^4*e^3*a^2*c-b^4*e^3*a^2*d-b^4*e^3*c^2*a+b^4*e^3*c^2*d+b^4*e^3*d^2*a-b^4*e^3*d^2*c+c^4*a^3*b^2*d-c^4*a^3*b^2*e-c^4*a^3*d^2*b+c^4*a^3*d^2*e+c^4*a^3*e^2*b-c^4*a^3*e^2*d-c^4*b^3*a^2*d+c^4*b^3*a^2*e+c^4*b^3*d^2*a-c^4*b^3*d^2*e-c^4*b^3*e^2*a+c^4*b^3*e^2*d+c^4*d^3*a^2*b-c^4*d^3*a^2*e-c^4*d^3*b^2*a+c^4*d^3*b^2*e+c^4*d^3*e^2*a-c^4*d^3*e^2*b-c^4*e^3*a^2*b+c^4*e^3*a^2*d+c^4*e^3*b^2*a-c^4*e^3*b^2*d-c^4*e^3*d^2*a+c^4*e^3*d^2*b-d^4*a^3*b^2*c+d^4*a^3*b^2*e+d^4*a^3*c^2*b-d^4*a^3*c^2*e-d^4*a^3*e^2*b+d^4*a^3*e^2*c+d^4*b^3*a^2*c-d^4*b^3*a^2*e-d^4*b^3*c^2*a+d^4*b^3*c^2*e+d^4*b^3*e^2*a-d^4*b^3*e^2*c-d^4*c^3*a^2*b+d^4*c^3*a^2*e+d^4*c^3*b^2*a-d^4*c^3*b^2*e-d^4*c^3*e^2*a+d^4*c^3*e^2*b+d^4*e^3*a^2*b-d^4*e^3*a^2*c-d^4*e^3*b^2*a+d^4*e^3*b^2*c+d^4*e^3*c^2*a-d^4*e^3*c^2*b+e^4*a^3*b^2*c-e^4*a^3*b^2*d-e^4*a^3*c^2*b+e^4*a^3*c^2*d+e^4*a^3*d^2*b-e^4*a^3*d^2*c-e^4*b^3*a^2*c+e^4*b^3*a^2*d+e^4*b^3*c^2*a-e^4*b^3*c^2*d-e^4*b^3*d^2*a+e^4*b^3*d^2*c+e^4*c^3*a^2*b-e^4*c^3*a^2*d-e^4*c^3*b^2*a+e^4*c^3*b^2*d+e^4*c^3*d^2*a-e^4*c^3*d^2*b-e^4*d^3*a^2*b+e^4*d^3*a^2*c+e^4*d^3*b^2*a-e^4*d^3*b^2*c-e^4*d^3*c^2*a+e^4*d^3*c^2*b

factor:

(c-d)*(b-d)*(b-c)*(a-d)*(a-c)*(a-b)*(-d+e)*(e-c)*(e-b)*(e-a)

expand:

a^4*b^3*c^2*d-a^4*b^3*c^2*e-a^4*b^3*d^2*c+a^4*b^3*d^2*e+a^4*b^3*e^2*c-a^4*b^3*e^2*d-a^4*c^3*b^2*d+a^4*c^3*b^2*e+a^4*c^3*d^2*b-a^4*c^3*d^2*e-a^4*c^3*e^2*b+a^4*c^3*e^2*d+a^4*d^3*b^2*c-a^4*d^3*b^2*e-a^4*d^3*c^2*b+a^4*d^3*c^2*e+a^4*d^3*e^2*b-a^4*d^3*e^2*c-a^4*e^3*b^2*c+a^4*e^3*b^2*d+a^4*e^3*c^2*b-a^4*e^3*c^2*d-a^4*e^3*d^2*b+a^4*e^3*d^2*c-b^4*a^3*c^2*d+b^4*a^3*c^2*e+b^4*a^3*d^2*c-b^4*a^3*d^2*e-b^4*a^3*e^2*c+b^4*a^3*e^2*d+b^4*c^3*a^2*d-b^4*c^3*a^2*e-b^4*c^3*d^2*a+b^4*c^3*d^2*e+b^4*c^3*e^2*a-b^4*c^3*e^2*d-b^4*d^3*a^2*c+b^4*d^3*a^2*e+b^4*d^3*c^2*a-b^4*d^3*c^2*e-b^4*d^3*e^2*a+b^4*d^3*e^2*c+b^4*e^3*a^2*c-b^4*e^3*a^2*d-b^4*e^3*c^2*a+b^4*e^3*c^2*d+b^4*e^3*d^2*a-b^4*e^3*d^2*c+c^4*a^3*b^2*d-c^4*a^3*b^2*e-c^4*a^3*d^2*b+c^4*a^3*d^2*e+c^4*a^3*e^2*b-c^4*a^3*e^2*d-c^4*b^3*a^2*d+c^4*b^3*a^2*e+c^4*b^3*d^2*a-c^4*b^3*d^2*e-c^4*b^3*e^2*a+c^4*b^3*e^2*d+c^4*d^3*a^2*b-c^4*d^3*a^2*e-c^4*d^3*b^2*a+c^4*d^3*b^2*e+c^4*d^3*e^2*a-c^4*d^3*e^2*b-c^4*e^3*a^2*b+c^4*e^3*a^2*d+c^4*e^3*b^2*a-c^4*e^3*b^2*d-c^4*e^3*d^2*a+c^4*e^3*d^2*b-d^4*a^3*b^2*c+d^4*a^3*b^2*e+d^4*a^3*c^2*b-d^4*a^3*c^2*e-d^4*a^3*e^2*b+d^4*a^3*e^2*c+d^4*b^3*a^2*c-d^4*b^3*a^2*e-d^4*b^3*c^2*a+d^4*b^3*c^2*e+d^4*b^3*e^2*a-d^4*b^3*e^2*c-d^4*c^3*a^2*b+d^4*c^3*a^2*e+d^4*c^3*b^2*a-d^4*c^3*b^2*e-d^4*c^3*e^2*a+d^4*c^3*e^2*b+d^4*e^3*a^2*b-d^4*e^3*a^2*c-d^4*e^3*b^2*a+d^4*e^3*b^2*c+d^4*e^3*c^2*a-d^4*e^3*c^2*b+e^4*a^3*b^2*c-e^4*a^3*b^2*d-e^4*a^3*c^2*b+e^4*a^3*c^2*d+e^4*a^3*d^2*b-e^4*a^3*d^2*c-e^4*b^3*a^2*c+e^4*b^3*a^2*d+e^4*b^3*c^2*a-e^4*b^3*c^2*d-e^4*b^3*d^2*a+e^4*b^3*d^2*c+e^4*c^3*a^2*b-e^4*c^3*a^2*d-e^4*c^3*b^2*a+e^4*c^3*b^2*d+e^4*c^3*d^2*a-e^4*c^3*d^2*b-e^4*d^3*a^2*b+e^4*d^3*a^2*c+e^4*d^3*b^2*a-e^4*d^3*b^2*c-e^4*d^3*c^2*a+e^4*d^3*c^2*b

combine:

convert(exp):

+e^4*d^3*a^2*c+e^4*d^3*b^2*a-e^4*d^3*b^2*c-e^4*d^3*c^2*a+e^4*d^3*c^2*b

convert(sincos):

convert(tan):

*a^2*b-e^4*c^3*a^2*d-e^4*c^3*b^2*a+e^4*c^3*b^2*d+e^4*c^3*d^2*a-e^4*c^3*d^2*b-e^4*d^3*a^2*b+e^4*d^3*a^2*c+e^4*d^3*b^2*a-e^4*d^3*b^2*c-e^4*d^3*c^2*a+e^4*d^3*c^2*b

collect(e):

a^4*b^3*c^2*d-a^4*b^3*d^2*c-a^4*c^3*b^2*d+a^4*c^3*d^2*b+a^4*d^3*b^2*c-a^4*d^3*c^2*b-b^4*a^3*c^2*d+b^4*a^3*d^2*c+b^4*c^3*a^2*d-b^4*c^3*d^2*a-b^4*d^3*a^2*c+b^4*d^3*c^2*a+c^4*a^3*b^2*d-c^4*a^3*d^2*b-c^4*b^3*a^2*d+c^4*b^3*d^2*a+c^4*d^3*a^2*b-c^4*d^3*b^2*a-d^4*a^3*b^2*c+d^4*a^3*c^2*b+d^4*b^3*a^2*c-d^4*b^3*c^2*a-d^4*c^3*a^2*b+d^4*c^3*b^2*a+(a^3*b^2*c-a^3*b^2*d-a^3*c^2*b+a^3*c^2*d+a^3*d^2*b-a^3*d^2*c-b^3*a^2*c+b^3*a^2*d+b^3*c^2*a-b^3*c^2*d-b^3*d^2*a+b^3*d^2*c+c^3*a^2*b-c^3*a^2*d-c^3*b^2*a+c^3*b^2*d+c^3*d^2*a-c^3*d^2*b-d^3*a^2*b+d^3*a^2*c+d^3*b^2*a-d^3*b^2*c-d^3*c^2*a+d^3*c^2*b)*e^4+(-a^4*b^2*c-c^4*d*b^2-c^4*d^2*a+c^4*d^2*b+a^4*b^2*d+a^4*c^2*b-a^4*c^2*d-c^4*a^2*b+c^4*a^2*d+c^4*b^2*a+b^4*a^2*c-b^4*a^2*d-b^4*c^2*a+c^2*d*b^4+b^4*d^2*a-d^2*c*b^4-a^4*d^2*b+a^4*d^2*c+d^4*a^2*b-d^4*a^2*c-d^4*b^2*a+c*d^4*b^2+d^4*c^2*a-c^2*d^4*b)*e^3+(b^4*a^3*d-c^4*b^3*a-a^4*c^3*b-c*d^4*b^3+c^4*d*b^3-a^4*b^3*d-b^4*a^3*c+a^4*c^3*d+a^4*b^3*c-a^4*d^3*c-c^3*d*b^4+d^4*b^3*a+a^4*d^3*b+b^4*c^3*a-c^4*a^3*d-d^4*a^3*b+c^4*d^3*a+c^4*a^3*b-c^4*d^3*b-b^4*d^3*a+c*d^3*b^4+d^4*a^3*c-d^4*c^3*a+c^3*d^4*b)*e^2+(a^4*b^3*d^2+c^4*a^3*d^2-b^4*c^3*a^2-a^4*b^3*c^2+a^4*d^3*c^2+d^4*c^3*a^2-c^4*d^2*b^3-a^4*c^3*d^2+c^4*d^3*b^2+c^4*b^3*a^2-c^4*d^3*a^2-a^4*d^3*b^2-b^4*a^3*d^2+b^4*d^3*a^2+b^4*a^3*c^2-c^3*d^4*b^2-d^4*a^3*c^2+c^2*d^4*b^3+a^4*c^3*b^2+c^3*d^2*b^4-c^2*d^3*b^4-c^4*a^3*b^2+d^4*a^3*b^2-d^4*b^3*a^2)*e

mwcos2sin:

ans =

(c-d)*(b-d)*(b-c)*(a-d)*(a-c)*(a-b)*(-d+e)*(e-c)*(e-b)*(e-a)

??20.5?0.50.5??0?1.50.5?0.5??进行Jordan变换，并得出变换矩阵。(提示：用45. 试对矩阵A???20.5?4.50.5???21?2?2??函数)

>> A=[-2,0.5,-0.5,0.5;0,-1.5,0.5,-0.5;2,0.5,-4.5,0.5;2,1,-2,-2];[V J]=jordan(sym(A)) V =

[ 0, 1/2, 1/2, -1/4] [ 0, 0, 1/2, 1] [ 1/4, 1/2, 1/2, -1/4] [ 1/4, 1/2, 1, -1/4] J =

[ -4, 0, 0, 0] [ 0, -2, 1, 0] [ 0, 0, -2, 1] [ 0, 0, 0, -2]

46. 试用数值方法和解析方法求取下面的Sylvester方程，并验证得出的结果。

?6?40?3?142?2???63?67???13100?11?403?05?4??3?X??0?4????21?1??12??3?21??4???X??2?92???5?61?

?????2?19???6?4?4????66?3??

数值方法

>> A=[3,-6,-4,0,5;1,4,2,-2,4;-6,3,-6,7,3;-13,10,0,-11,0;0,4,0,3,4]; >> B=[3,-2,1;-2,9,2;-2,-1,9];

>> C=[-2,1,-1;4,1,2;5,-6,1;6,-4,-4;-6,6,-3];

共6页:

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