A1 =
11 12 13 14 A2 =
11 21 31 41 A3 =
12 13 22 23 32 33 42 43 A4 =
22 23 32 33 A5 =
11 13 21 23 31 33 41 43 A6 =
21 31 A7 =
11 21 31 41 12 22 32 42 13 23 33 43 14 24 34 44 A8 =
11 12 13 14 21 22 23 24 31 32 33 34 41 42 43 44 A9 =
1 1 1 1
A10 =
1 0 0 1
A11 =
11 12 13 14 1 1 21 22 23 24 1 1 31 32 33 34 1 0 41 42 43 44 0 1
A12 =
11 22 33 44
A13 =
12 23 34
A14 =
21 32 43
A15 =
13 24
A16 =
11 22 33 44
A17 =
11 31 12 32 13 33 14 34
2.
A=[2 3 -5 4;-1 2 7 -3;5 -4 2 1;7 6 -2 -3] A1=inv(A) A2=det(A)
A3=trace(A) [A4,A5]=eig(A) A =
2 3 -5 4 -1 2 7 -3 5 -4 2 1 7 6 -2 -3 A1 =
0.0198 0.0010 0.1069 0.0610 0.1199 0.1116 -0.0636 0.0271 0.0709 0.1616 0.0667 -0.0448 0.2388 0.1178 0.0777 -0.1069 A2 =
-1.9180e+03 A3 =
3 A4 =
0.3850 + 0.0000i 0.4655 + 0.0000i -0.0889 + 0.4794i -0.0889 - 0.4794i -0.1196 + 0.0000i 0.4083 + 0.0000i -0.1447 - 0.5624i -0.1447 + 0.5624i -0.1972 + 0.0000i 0.4872 + 0.0000i 0.5903 + 0.0000i 0.5903 + 0.0000i -0.8936 + 0.0000i 0.6157 + 0.0000i -0.1444 + 0.2359i -0.1444 - 0.2359i A5 =
-5.6545 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i 4.6888 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i 1.9828 + 8.2711i 0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i 1.9828 - 8.2711i
3.
A=magic(3);B=7*rand(3); A1=A.*B A2=A&B A3=A|B A4=~A A5=(A==B) A6=A>B
A7=magic(3) A8=rand(3) A9=zeros(1,2) A10=ones(3,4) A11=eye(3) A1 =
45.6245 6.3936 11.6969 19.0216 22.1326 26.7972 3.5556 6.1450 13.4051 A2 =
1 1 1 1 1 1 1 1 1 A3 =
1 1 1 1 1 1 1 1 1 A4 =
0 0 0 0 0 0 0 0 0 A5 =
0 0 0