a=[1:3]; b=[5,6,8]; c=[0,-1,4] c = 0 -1 4 A=[a;b;c] A = 1 2 3 5 6 8 0 -1 4 J=eye(3) % jednotkova matice J = 1 0 0 0 1 0 0 0 1 A*J ans = 1 2 3 5 6 8 0 -1 4 J*A ans = 1 2 3 5 6 8 0 -1 4 ones(3) ans = 1 1 1 1 1 1 1 1 1 ones(5,2) ans = 1 1 1 1 1 1 1 1 1 1 ones(1,6) ans = 1 1 1 1 1 1 ones(3,1) ans = 1 1 1 5*ones(6) ans = 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 ones(3,1).*10 ans = 10 10 10 ones(3,1)*10 ans = 10 10 10 zeros(4) ans = 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 zeros(4,2) ans = 0 0 0 0 0 0 0 0 zeros(2,4) ans = 0 0 0 0 0 0 0 0 rand(3) % nahodna cisla mezi 0 a 1 ans = 0.8147 0.9134 0.2785 0.9058 0.6324 0.5469 0.1270 0.0975 0.9575 10*rand(3) % nahodna cisla mezi 0 a 10 ans = 9.6489 9.5717 1.4189 1.5761 4.8538 4.2176 9.7059 8.0028 9.1574 M=10*rand(3) % nahodna cisla mezi 0 a 10 M = 7.9221 0.3571 6.7874 9.5949 8.4913 7.5774 6.5574 9.3399 7.4313 M=round(10*rand(3)) M = 4 7 0 7 0 1 2 3 8 N=10*rand(3) % nahodna cisla mezi 0 a 10 N = 6.9483 0.3445 7.6552 3.1710 4.3874 7.9520 9.5022 3.8156 1.8687 round(N) ans = 7 0 8 3 4 8 10 4 2 N N = 6.9483 0.3445 7.6552 3.1710 4.3874 7.9520 9.5022 3.8156 1.8687 floor(N) ans = 6 0 7 3 4 7 9 3 1 ceil(N) ans = 7 1 8 4 5 8 10 4 2 magic(4) ans = 16 2 3 13 5 11 10 8 9 7 6 12 4 14 15 1 magic(4) ans = 16 2 3 13 5 11 10 8 9 7 6 12 4 14 15 1 sum(magic(4)) ans = 34 34 34 34 R=magic(4) R = 16 2 3 13 5 11 10 8 9 7 6 12 4 14 15 1 sum(R) ans = 34 34 34 34 R.' ans = 16 5 9 4 2 11 7 14 3 10 6 15 13 8 12 1 sum(R.') ans = 34 34 34 34 diag(R) ans = 16 11 6 1 sum(diag(R)) ans = 34 magic(3) ans = 8 1 6 3 5 7 4 9 2 sum(magic(3)) ans = 15 15 15 sum(diag(magic(3))) ans = 15 a a = 1 2 3 R R = 16 2 3 13 5 11 10 8 9 7 6 12 4 14 15 1 R(4,:)=[] R = 16 2 3 13 5 11 10 8 9 7 6 12 a a = 1 2 3 a*R ans = 53 45 41 65 a a = 1 2 3 A A = 1 2 3 5 6 8 0 -1 4 inv(A) ans = -1.3913 0.4783 0.0870 0.8696 -0.1739 -0.3043 0.2174 -0.0435 0.1739 A*inv(A) ans = 1.0000 0 0 -0.0000 1.0000 0.0000 0 0 1.0000 inv(A)*A ans = 1.0000 -0.0000 0.0000 0 1.0000 -0.0000 0 0.0000 1.0000 A*A.' ans = 14 41 10 41 125 26 10 26 17 A.'*A ans = 26 32 43 32 41 50 43 50 89 A A = 1 2 3 5 6 8 0 -1 4 B=magic(3) B = 8 1 6 3 5 7 4 9 2 A/B ans = -0.0333 0.4667 -0.0333 0.2139 0.9222 0.1306 -0.0167 0.7333 -0.5167 format rat A/B ans = -1/30 7/15 -1/30 77/360 83/90 47/360 -1/60 11/15 -31/60 A*inv(B) ans = -1/30 7/15 -1/30 77/360 83/90 47/360 -1/60 11/15 -31/60 B\A ans = -23/40 -229/360 -11/24 1/20 -17/180 5/12 37/40 431/360 25/24 inv(B)*A ans = -23/40 -229/360 -11/24 1/20 -17/180 5/12 37/40 431/360 25/24 B/A ans = -206/23 78/23 33/23 39/23 6/23 -1/23 62/23 6/23 -47/23 B*inv(A) ans = -206/23 78/23 33/23 39/23 6/23 -1/23 62/23 6/23 -47/23 A\B ans = -215/23 41/23 -111/23 120/23 -63/23 78/23 53/23 36/23 31/23 inv(A)*B ans = -215/23 41/23 -111/23 120/23 -63/23 78/23 53/23 36/23 31/23 MK=[10,8,7,9;3,2,1,0;4,5,0,-1;8,6,4,2] MK = 10 8 7 9 3 2 1 0 4 5 0 -1 8 6 4 2 PS=[-2;3;1;6] PS = -2 3 1 6 x=inv(MK)*PS x = 1 -1 2 -2 x=MK\PS x = 1 -1 2 -2 MK MK = 10 8 7 9 3 2 1 0 4 5 0 -1 8 6 4 2 inv(MK) ans = 2/11 25/11 -3/22 -39/44 -1/11 -18/11 7/22 25/44 -4/11 -28/11 -5/22 67/44 3/11 10/11 1/22 -31/44 format inv(MK) ans = 0.1818 2.2727 -0.1364 -0.8864 -0.0909 -1.6364 0.3182 0.5682 -0.3636 -2.5455 -0.2273 1.5227 0.2727 0.9091 0.0455 -0.7045 inv(MK)*MK ans = 1.0000 0 0.0000 -0.0000 0 1.0000 -0.0000 -0.0000 0.0000 0 1.0000 -0.0000 -0.0000 -0.0000 -0.0000 1.0000 J=inv(MK)*MK J = 1.0000 0 0.0000 -0.0000 0 1.0000 -0.0000 -0.0000 0.0000 0 1.0000 -0.0000 -0.0000 -0.0000 -0.0000 1.0000 J*x ans = 1.0000 -1.0000 2.0000 -2.0000 MK*x ans = -2.0000 3.0000 1.0000 6.0000 % zkouska % x1=1, x2=-1, x3=2, x4=-2 A=[10,8,7,9;3,2,1,0;4,5,0,-1;8,6,4,2] A = 10 8 7 9 3 2 1 0 4 5 0 -1 8 6 4 2 b=[-2+9i,3-4i,1-10i,6-8i] b = Columns 1 through 3 -2.0000 + 9.0000i 3.0000 - 4.0000i 1.0000 -10.0000i Column 4 6.0000 - 8.0000i b.' ans = -2.0000 + 9.0000i 3.0000 - 4.0000i 1.0000 -10.0000i 6.0000 - 8.0000i x=A\b.' x = 1.0000 + 1.0000i -1.0000 - 2.0000i 2.0000 - 3.0000i -2.0000 + 4.0000i x=inv(A)*b.' x = 1.0000 + 1.0000i -1.0000 - 2.0000i 2.0000 - 3.0000i -2.0000 + 4.0000i % b byl radkovy => b.' A=[1,1;1,-4] A = 1 1 1 -4 b=[0;-3] b = 0 -3 x=A\b x = -0.6000 0.6000 A*x ans = 0 -3.0000 % zkouska vysla graf graf graf exp(1) ans = 2.7183 exp(1:5) ans = 2.7183 7.3891 20.0855 54.5982 148.4132 graf2 graf2 graf2 ~1 ans = 0 ~0 ans = 1 c=~5 c = 0 whos Name Size Bytes Class Attributes A 2x2 32 double B 3x3 72 double J 4x4 128 double M 3x3 72 double MK 4x4 128 double N 3x3 72 double PS 4x1 32 double R 3x4 96 double a 1x3 24 double ans 1x1 1 logical b 2x1 16 double c 1x1 1 logical x 2x1 16 double 3<5 ans = 1 5>6 ans = 0 4==(3+1) ans = 1 (4+2)~=(3+1) ans = 1 (4+2)==(3+1) ans = 0 (4+2)>=(3+1) ans = 1 zjisteniMensiVetsi(5,3) a je vetsi nez b zjisteniMensiVetsi(1,3) a je mensi nebo rovno b zjisteniMensiVetsi(3,3) a je mensi nebo rovno b zjisteniMensiVetsi(6,3) a je vetsi nez b diary off