Page 36 - MATLAB an introduction with applications
P. 36
MATLAB Basics ——— 21
(d) >> % Let F= transpose of A
>> F=A'
F =
1 2 –1
0 3 6
1 4 7
(e) >> H = inv (B)
H =
0.1111 0.0000 –0.2222
0.1429 –0.1429 0.5714
–0.1746 0.2857 –0.3651
( f ) >> J = B'*A'
J =
6 19 4
6 31 40
3 26 41
(g) >> K = A^2 + B^2 – A*B
K =
53 52 45
15 51 58
–2 28 42
(h) det (A) = 12
det (B) = –63
det(A*B)= –756
Example E1.2: Determine the eigenvalues and eigenvectors of A and B using MATLAB
4 2 −3 1 2 3
A = −1 1 3 and B = 8 7 6
2 5 7 5 3 1
Solution:
% Determine the eigenvalues and eigenvectors
A = [4 2 –3 ; –1 1 3 ; 2 5 7]
A =
4 2 –3
–1 1 3
2 5 7
eig(A)
ans = 0.5949
3.0000
8.4051
F:\Final Book\Sanjay\IIIrd Printout\Dt. 10-03-09
