2. laborgyakorlat, házik megoldásai
Contents
clear all, close all
2. feladat
x=1:50; y=1:20;
[uj_x,uj_y]=meshgrid(x,y);
A=sin(pi*uj_x/4)+uj_y.^3/1000
A =
Columns 1 through 7
0.7081 1.0010 0.7081 0.0010 -0.7061 -0.9990 -0.7061
0.7151 1.0080 0.7151 0.0080 -0.6991 -0.9920 -0.6991
0.7341 1.0270 0.7341 0.0270 -0.6801 -0.9730 -0.6801
0.7711 1.0640 0.7711 0.0640 -0.6431 -0.9360 -0.6431
0.8321 1.1250 0.8321 0.1250 -0.5821 -0.8750 -0.5821
0.9231 1.2160 0.9231 0.2160 -0.4911 -0.7840 -0.4911
1.0501 1.3430 1.0501 0.3430 -0.3641 -0.6570 -0.3641
1.2191 1.5120 1.2191 0.5120 -0.1951 -0.4880 -0.1951
1.4361 1.7290 1.4361 0.7290 0.0219 -0.2710 0.0219
1.7071 2.0000 1.7071 1.0000 0.2929 0 0.2929
2.0381 2.3310 2.0381 1.3310 0.6239 0.3310 0.6239
2.4351 2.7280 2.4351 1.7280 1.0209 0.7280 1.0209
2.9041 3.1970 2.9041 2.1970 1.4899 1.1970 1.4899
3.4511 3.7440 3.4511 2.7440 2.0369 1.7440 2.0369
4.0821 4.3750 4.0821 3.3750 2.6679 2.3750 2.6679
4.8031 5.0960 4.8031 4.0960 3.3889 3.0960 3.3889
5.6201 5.9130 5.6201 4.9130 4.2059 3.9130 4.2059
6.5391 6.8320 6.5391 5.8320 5.1249 4.8320 5.1249
7.5661 7.8590 7.5661 6.8590 6.1519 5.8590 6.1519
8.7071 9.0000 8.7071 8.0000 7.2929 7.0000 7.2929
Columns 8 through 14
0.0010 0.7081 1.0010 0.7081 0.0010 -0.7061 -0.9990
0.0080 0.7151 1.0080 0.7151 0.0080 -0.6991 -0.9920
0.0270 0.7341 1.0270 0.7341 0.0270 -0.6801 -0.9730
0.0640 0.7711 1.0640 0.7711 0.0640 -0.6431 -0.9360
0.1250 0.8321 1.1250 0.8321 0.1250 -0.5821 -0.8750
0.2160 0.9231 1.2160 0.9231 0.2160 -0.4911 -0.7840
0.3430 1.0501 1.3430 1.0501 0.3430 -0.3641 -0.6570
0.5120 1.2191 1.5120 1.2191 0.5120 -0.1951 -0.4880
0.7290 1.4361 1.7290 1.4361 0.7290 0.0219 -0.2710
1.0000 1.7071 2.0000 1.7071 1.0000 0.2929 0
1.3310 2.0381 2.3310 2.0381 1.3310 0.6239 0.3310
1.7280 2.4351 2.7280 2.4351 1.7280 1.0209 0.7280
2.1970 2.9041 3.1970 2.9041 2.1970 1.4899 1.1970
2.7440 3.4511 3.7440 3.4511 2.7440 2.0369 1.7440
3.3750 4.0821 4.3750 4.0821 3.3750 2.6679 2.3750
4.0960 4.8031 5.0960 4.8031 4.0960 3.3889 3.0960
4.9130 5.6201 5.9130 5.6201 4.9130 4.2059 3.9130
5.8320 6.5391 6.8320 6.5391 5.8320 5.1249 4.8320
6.8590 7.5661 7.8590 7.5661 6.8590 6.1519 5.8590
8.0000 8.7071 9.0000 8.7071 8.0000 7.2929 7.0000
Columns 15 through 21
-0.7061 0.0010 0.7081 1.0010 0.7081 0.0010 -0.7061
-0.6991 0.0080 0.7151 1.0080 0.7151 0.0080 -0.6991
-0.6801 0.0270 0.7341 1.0270 0.7341 0.0270 -0.6801
-0.6431 0.0640 0.7711 1.0640 0.7711 0.0640 -0.6431
-0.5821 0.1250 0.8321 1.1250 0.8321 0.1250 -0.5821
-0.4911 0.2160 0.9231 1.2160 0.9231 0.2160 -0.4911
-0.3641 0.3430 1.0501 1.3430 1.0501 0.3430 -0.3641
-0.1951 0.5120 1.2191 1.5120 1.2191 0.5120 -0.1951
0.0219 0.7290 1.4361 1.7290 1.4361 0.7290 0.0219
0.2929 1.0000 1.7071 2.0000 1.7071 1.0000 0.2929
0.6239 1.3310 2.0381 2.3310 2.0381 1.3310 0.6239
1.0209 1.7280 2.4351 2.7280 2.4351 1.7280 1.0209
1.4899 2.1970 2.9041 3.1970 2.9041 2.1970 1.4899
2.0369 2.7440 3.4511 3.7440 3.4511 2.7440 2.0369
2.6679 3.3750 4.0821 4.3750 4.0821 3.3750 2.6679
3.3889 4.0960 4.8031 5.0960 4.8031 4.0960 3.3889
4.2059 4.9130 5.6201 5.9130 5.6201 4.9130 4.2059
5.1249 5.8320 6.5391 6.8320 6.5391 5.8320 5.1249
6.1519 6.8590 7.5661 7.8590 7.5661 6.8590 6.1519
7.2929 8.0000 8.7071 9.0000 8.7071 8.0000 7.2929
Columns 22 through 28
-0.9990 -0.7061 0.0010 0.7081 1.0010 0.7081 0.0010
-0.9920 -0.6991 0.0080 0.7151 1.0080 0.7151 0.0080
-0.9730 -0.6801 0.0270 0.7341 1.0270 0.7341 0.0270
-0.9360 -0.6431 0.0640 0.7711 1.0640 0.7711 0.0640
-0.8750 -0.5821 0.1250 0.8321 1.1250 0.8321 0.1250
-0.7840 -0.4911 0.2160 0.9231 1.2160 0.9231 0.2160
-0.6570 -0.3641 0.3430 1.0501 1.3430 1.0501 0.3430
-0.4880 -0.1951 0.5120 1.2191 1.5120 1.2191 0.5120
...3. feladat
i=13; j=24;
a_explicit=i^3/1000+sin(pi*j/4)
a_matrixbeli=A(i,j)
a_explicit =
2.1970
a_matrixbeli =
2.1970
4. feladat
B=A(:,1:20)+eye(20);
det_B=det(B)
se_min=min(eig(B))
minB=min(B);
min_6odik_oszlop=minB(6)
diagmax=max(diag(B))
det_B =
-34.2105
se_min =
-0.6952
min_6odik_oszlop =
-0.9990
diagmax =
9
5. feladat
load pontszamok
6. feladat
pontszamok(:,5)=(pontszamok(:,2)+pontszamok(:,3)+pontszamok(:,4))/3
pontszamok =
1.0000 68.0000 45.0000 92.0000 68.3333
2.0000 83.0000 54.0000 93.0000 76.6667
3.0000 61.0000 67.0000 91.0000 73.0000
4.0000 70.0000 66.0000 92.0000 76.0000
5.0000 75.0000 68.0000 96.0000 79.6667
6.0000 82.0000 67.0000 90.0000 79.6667
7.0000 57.0000 65.0000 89.0000 70.3333
8.0000 5.0000 69.0000 89.0000 54.3333
9.0000 76.0000 62.0000 97.0000 78.3333
10.0000 85.0000 52.0000 94.0000 77.0000
11.0000 62.0000 34.0000 87.0000 61.0000
12.0000 71.0000 45.0000 85.0000 67.0000
13.0000 96.0000 56.0000 45.0000 65.6667
14.0000 78.0000 65.0000 87.0000 76.6667
15.0000 76.0000 43.0000 97.0000 72.0000
16.0000 68.0000 76.0000 95.0000 79.6667
17.0000 72.0000 65.0000 89.0000 75.3333
18.0000 75.0000 67.0000 88.0000 76.6667
19.0000 83.0000 68.0000 91.0000 80.6667
20.0000 93.0000 90.0000 92.0000 91.6667
7. feladat
otodik_eredmenye=pontszamok(5,:)
otodik_eredmenye =
5.0000 75.0000 68.0000 96.0000 79.6667
8. feladat
[m,p]=max(pontszamok(:,5));
legtobb_pont=m
diak=p
[m,p]=min(pontszamok(:,5));
legkevesebb_pont=m
diak=p
legtobb_pont =
91.6667
diak =
20
legkevesebb_pont =
54.3333
diak =
8
9. feladat
atlag=mean(pontszamok(:,2:4))
atlag =
71.8000 61.2000 88.9500