1、 计算函数1cos(2)sin()
x y x x -=
和sin(2)
x y x =在eps x =处的函数值
x=eps;
y=(1-cos(2*x))/(x*sin(2*x)) y =
>> y1=sin(2*x)/2*x y1 =
4.9304e-32
2、以
100
π
为间隔，在0和π进行均匀分割，构成一个数组
>> vec=0:pi/100:pi
vec =
Columns 1 through 10
0 0.0314 0.0628 0.0942 0.1257 0.1571 0.1885 0.2199 0.2513 0.2827
Columns 11 through 20
0.3142 0.3456 0.3770 0.4084 0.4398 0.4712 0.5027 0.5341 0.5655 0.5969
Columns 21 through 30
0.6283 0.6597 0.6912 0.7226 0.7540 0.7854 0.8168 0.8482 0.8796 0.9111
Columns 31 through 40
0.9425 0.9739 1.0053 1.0367 1.0681 1.0996 1.1310 1.1624 1.1938 1.2252
Columns 41 through 50
1.2566 1.2881 1.3195 1.3509 1.3823 1.4137 1.4451 1.4765
1.5080 1.5394
Columns 51 through 60
1.5708 1.6022 1.6336 1.6650 1.6965 1.7279 1.7593 1.7907
1.8221 1.8535
Columns 61 through 70
1.8850 1.9164 1.9478 1.9792
2.0106 2.0420 2.0735 2.1049
2.1363 2.1677
Columns 71 through 80
2.1991 2.2305 2.2619 2.2934 2.3248 2.3562 2.3876 2.4190
2.4504 2.4819
Columns 81 through 90
2.5133 2.5447 2.5761 2.6075 2.6389 2.6704 2.7018 2.7332
2.7646 2.7960
Columns 91 through 100
2.8274 2.8588 2.8903 2.9217 2.9531 2.9845
3.0159 3.0473
3.0788 3.1102
Column 101
3.1416
3、计算函数20.1sin ()e 0.5cos()(0.1)x y x x x -=-+在0.5x =处的函数值
>> x=0.5;
>> y=sin(x)*sin(x)*exp(-0.1*x)-0.5*cos(x)*(x+0.1) y =
-0.0446
4、123093456,446987865a b ⎡⎤⎡⎤
⎢⎥⎢⎥==⎢⎥⎢⎥⎢⎥⎢⎥⎣⎦⎣⎦
，求a b +
>> a=[1 2 3;4 5 6;9 8 7]
a =
1 2 3
4 5 6
9 8 7
>> b=[0 9 3;4 4 6;8 6 5]
b =
0 9 3
4 4 6
8 6 5 >> a+b
ans =
1 11 6
8 9 12
17 14 12
>> a=[7 5 3;4 5 9;3 7 7]
5、已知
753813
459,496
377872
a b
⎡⎤⎡⎤
⎢⎥⎢⎥
==
⎢⎥⎢⎥
⎢⎥⎢⎥
⎣⎦⎣⎦
，求矩阵a和b的乘积
>>a =[7 5 3,4 5 9,3 7 7] a=
7 5 3
4 5 9
3 7 7
>> b=[8 1 3;4 9 6;8 7 2]
b =
8 1 3
4 9 6
8 7 2
>> a*b
ans =
100 73 57
124 112 60
108 115 65 >> a=[1 2 3;0 8 6;5 0 3]
6、已知
123
086
503
a
⎡⎤
⎢⎥
=⎢⎥
⎢⎥
⎣⎦
，求2a
a =
1 2 3
0 8 6
5 0 3 >> a*a
ans =
16 18 24
30 64 66
20 10 24
7、求矩阵
103
476
983
a
⎡⎤
⎢⎥
=⎢⎥
⎢⎥
⎣⎦
的秩、行列式，特征值和特征向量
>> a=[1 0 3;4 7 6;9 8 3]
a =
1 0 3
4 7 6
9 8 3 >> b=rank(a)
b =
3
