The document shows MATLAB code for performing operations on matrices A and B. It defines matrices A and B, calculates their transpose, inverse, determinant, performs addition, subtraction, multiplication and division between matrices, and generates random matrices. It also shows functions like size, trace, zeros, eye, rank, cond and inv applied to matrices.

1. 11/10/11 1:44 PM MATLAB Command Window 1 of 8
>> A=[1,3,6;2,7,8;0,3,9]
A =
1 3 6
2 7 8
0 3 9
>> size(A)
ans =
3 3
>> A'
ans =
1 2 0
3 7 3
6 8 9
>> A(:,A)
??? Subscript indices must either be real positive integers or
logicals.
>> A(:,3)
ans =
6
8
9
>> A(1,:)
ans =
1 3 6
>> A(:,1)+A(:,3)
ans =
7
10
9
>> A(:,3)+A(:,1)
ans =
7
10
9

2. 11/10/11 1:44 PM MATLAB Command Window 2 of 8
>> A(1:,)+A(3:,)
??? A(1:,)+A(3:,)
|
Error: Expression or statement is incorrect--possibly unbalanced (,
{, or [.
>> A(1,:)+A(3,:)
ans =
1 6 15
>> B=[3,4,5;6,7,2;8,1,0]
B =
3 4 5
6 7 2
8 1 0
>> C=A+B
C =
4 7 11
8 14 10
8 4 9
>> C=A-B
C =
-2 -1 1
-4 0 6
-8 2 9
>> C=A*B
C =
69 31 11
112 65 24
90 30 6
>> C=A/B
C =
1.3229 -0.3073 -0.1406
1.5208 0.1979 -0.4688
2.0938 -0.7344 -0.2344
>> C=A%B
C =

3. 11/10/11 1:44 PM MATLAB Command Window 3 of 8
1 3 6
2 7 8
0 3 9
>> C=(A*A)/B
C =
18.4479 -4.1198 -2.9531
30.0417 -5.1042 -5.4375
23.4063 -6.0156 -3.5156
>> C=A*2
C =
2 6 12
4 14 16
0 6 18
>> inv(A)
ans =
1.8571 -0.4286 -0.8571
-0.8571 0.4286 0.1905
0.2857 -0.1429 0.0476
>> inv(A*B)
ans =
0.0818 -0.0357 -0.0072
-0.3690 0.1429 0.1052
0.6176 -0.1786 -0.2512
>> det(A)
ans =
21
>> rank(A)
ans =
3
>> cond(A)
ans =
35.9623
>> eye(A)
??? Error using ==> eye

4. 11/10/11 1:44 PM MATLAB Command Window 4 of 8
Unknown command option.
>> eye(2)
ans =
1 0
0 1
>> eye(3)
ans =
1 0 0
0 1 0
0 0 1
>> eye(12)
ans =
Columns 1 through 11
1 0 0 0 0 0 0 0 0 0 0
0 1 0 0 0 0 0 0 0 0 0
0 0 1 0 0 0 0 0 0 0 0
0 0 0 1 0 0 0 0 0 0 0
0 0 0 0 1 0 0 0 0 0 0
0 0 0 0 0 1 0 0 0 0 0
0 0 0 0 0 0 1 0 0 0 0
0 0 0 0 0 0 0 1 0 0 0
0 0 0 0 0 0 0 0 1 0 0
0 0 0 0 0 0 0 0 0 1 0
0 0 0 0 0 0 0 0 0 0 1
0 0 0 0 0 0 0 0 0 0 0
Column 12
0
0
0
0
0
0
0
0
0
0
0
1
>> rand(3,3)
ans =
0.8147 0.9134 0.2785

5. 11/10/11 1:44 PM MATLAB Command Window 5 of 8
0.9058 0.6324 0.5469
0.1270 0.0975 0.9575
>> rand(2,3)
ans =
0.9649 0.9706 0.4854
0.1576 0.9572 0.8003
>> rand(3,3)
ans =
0.1419 0.7922 0.0357
0.4218 0.9595 0.8491
0.9157 0.6557 0.9340
>> C=[1,3,9;6,7,2;8-1-2]
??? Error using ==> vertcat
CAT arguments dimensions are not consistent.
>> C=[1,3,9;6,7,2;8,-1,-2]
C =
1 3 9
6 7 2
8 -1 -2
>> trace(c)
??? Undefined function or variable 'c'.
>> trace(C)
ans =
6
>> zeros(5,4)
ans =
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
>> cond(eye(6))
ans =
1
>> A[1 1;1 1+1e-6]

6. 11/10/11 1:44 PM MATLAB Command Window 6 of 8
??? A[1 1;1 1+1e-6]
|
Error: Unbalanced or unexpected parenthesis or bracket.
>> A[1,1;1,1+1e-6]
??? A[1,1;1,1+1e-6]
|
Error: Unbalanced or unexpected parenthesis or bracket.
>> cond(A)
ans =
35.9623
>> A=[2,-1,0;-3,6,1]
A =
2 -1 0
-3 6 1
>> B=[1,0,-1,2;-4,3,1,0;0,3,1,-2]
B =
1 0 -1 2
-4 3 1 0
0 3 1 -2
>> A'
ans =
2 -3
-1 6
0 1
>> B'
ans =
1 -4 0
0 3 3
-1 1 1
2 0 -2
>> C=A*B
C =
6 -3 -3 4
-27 21 10 -8
>> C=B*A
??? Error using ==> mtimes

7. 11/10/11 1:44 PM MATLAB Command Window 7 of 8
Inner matrix dimensions must agree.
>> D=B*A
??? Error using ==> mtimes
Inner matrix dimensions must agree.
>> A=[-9,-18,;2,4]
A =
-9 -18
2 4
>> B=[2,3,1;-1,-6,7;4,5,-1]
B =
2 3 1
-1 -6 7
4 5 -1
>> det(A')
ans =
0
>> A'
ans =
-9 2
-18 4
>> B'
ans =
2 -1 4
3 -6 5
1 7 -1
>> det(A)
ans =
0
>> det(b)
??? Undefined function or variable 'b'.
>> det(B)
ans =
42

8. 11/10/11 1:44 PM MATLAB Command Window 8 of 8
>> a=[2,1,1;-5,-3,0;1,1,-1]
a =
2 1 1
-5 -3 0
1 1 -1
>> b=[1,2,3;0,1,4;5,6,0]
b =
1 2 3
0 1 4
5 6 0
>> inv(a)
ans =
-3.0000 -2.0000 -3.0000
5.0000 3.0000 5.0000
2.0000 1.0000 1.0000
>> inv(b)
ans =
-24.0000 18.0000 5.0000
20.0000 -15.0000 -4.0000
-5.0000 4.0000 1.0000
>>