matlab软件技术--作业1

1、MatlabMatlab软件技术一作业1 1学号:10094152:10094152 姓名：郑焕魁 班级：机设优090090、求下列表达式的值。要求给出程序和执行结果1、2si n85e0.3 + a2、z2sin (a 0.3) In,a - -3.0, -2.9, -2.8,.2.8,2.9,3.02 2提示：用冒号表达式生成a向量，求各点的函数值时用点乘运算。答：1程序： e=2.71828; z1=2*si n( 85*pi/180)/(1+eA2)执行结果：z1 =0.23752程序： a=(-3.0:0.1:3.0); z2=exp(0.3*a)/2.*si n(a+0.3)+lo

2、g(0.3+a)/2)执行结果：z2 =Colu mns 1 through 30.2132 + 3.1416iColumns 4 through 60.1544 + 3.1416i0.0940 + 3.1416i0.0321 + 3.1416i-0.0312 + 3.1416i-0.0956 + 3.1416iColumns 7 through 9-0.1613 + 3.1416i-0.2280 + 3.1416iColu mns 10 through 12-0.3647 + 3.1416i-0.4346 + 3.1416i-0.2958 + 3.1416i-0.5058 + 3.1416i

3、Colu mns 13 through 15-0.5783 + 3.1416i -0.6526 + 3.1416i -0.7289 + 3.1416iColumns 16 through 18-0.8080 + 3.1416i -0.8906 + 3.1416iColumns 19 through 21-1.0718 + 3.1416i -1.1742 + 3.1416iColumns 22 through 24-1.4195 + 3.1416i -1.5749 + 3.1416iColumns 25 through 27-2.0205 + 3.1416i -2.3881 + 3.1416i-

4、0.9780 + 3.1416i-1.2884 + 3.1416i-1.7673 + 3.1416i-3.0400 + 3.1416iColumns 28 through 30-37.0245-2.9487Columns 31 through 33-1.7494-1.4088Columns 34 through 36-0.8951-0.6866Columns 37 through 39-0.3296-0.1741Columns 40 through 420.09960.2196Columns 43 through 450.42720.5150Columns 46 through 48-2.20

5、62-1.1318-0.4996-0.03140.32870.59210.65830.71340.7571Columns 49 through 510.78940.81010.8191Columns 52 through 540.81640.80210.7762Columns 55 through 570.73910.69110.6325Columns 58 through 600.56410.48640.4003Colu mn 610.3068、已知-12343A =34787，B =2033657 一L3-27J求下列表达式的值：要求给出执行结果1、A+6*B , A-B+I （其中I为单

6、位矩阵）2、A*B , A.*B3、AA3 , A.A34、A/B , BA5、A,B , A(1,3,:) ; BA2答:1. a =1852-104671052153491231-33288467011728393042739304343274625-646585033437.600050.200068.00002. c =684462309-72596154-5241d =1210246802619-130493. e =372262473707868823382414918845414248604600766118820f =4. g =16.4000-13.600035.8000-7

7、6.200067.0000 -134.0000h =109.4000 -131.2000322.8000-53.000085.0000 -171.0000-61.600089.8000 -186.20005. i =1234-413-13478720336573-27j =1234-436574511101920-540三、求矩阵 A的主对角线元素、上三角阵、下三角阵、秩、范数、条件数和迹。要求给出 程序和执行结果_1-12 351-42A =3052111509答： A=1 -1 2 3;5 1-4 2;3 0 5 2;11 15 0 9; a=diag(A)a =1159 b=triu(A

8、)1-12301-4200520009 c=tril(A)c =10 0051003050111509 d=ra nk(A) e=no rm(A)B);C );D);E);五、考虑迭代公式xn 1，编写程序求迭代结果，迭代的终止条件为2召21.3005 f=con d(A)11.1739 g=trace(A)16四、输入一个百分制成绩，要求输出成绩等级A、B、C、D、E。其中90分100分为A ,80分89分为B , 70分79分为C, 60分69分为D, 60分以下为 E。分别用if语句和switch语句实现；输入百分制成绩后要判断该成绩的合理性，对不合理的 成绩应输出出错信息。要求给出程序答：x=input（请输入成绩）;if x=9 0& x=80 &x=70 &x=60 &x70 disp( elseif x=0 disp( else di