Page 82 - MATLAB an introduction with applications

MATLAB Basics ——— 67

(c) A 2
(d) A T
(e) B –1
T T
(f) B A
2
2
(g) A + B – AB
Solution:
>> A = [3 2*pi;5j 10 + sqrt(2)*j];
>> B = [7j –15j;2*pi 18];
(a) A + B
ans =
3.0000 + 7.0000i 6.2832 –15.0000i
6.2832 + 5.0000i 28.0000 + 1.4142i
(b) >> A * B
ans =
1.0e+002 *
0.3948 + 0.2100i 1.1310 – 0.4500i
0.2783 + 0.0889i 2.5500 + 0.2546i

(c) >> A^2
ans =
9.0000 + 31.4159i 81.6814 + 8.8858i
–7.0711 + 65.0000i 98.0000 + 59.7002i

(d) >> inv(A)
ans =
0.1597 + 0.1917i –0.1150 – 0.1042i
0.0829 – 0.0916i 0.0549 + 0.0498i

(e) >> B^–1
ans =
0 –0.0817i 0.0681
0 + 0.0285i 0.0318
(f ) >> inv(B) * inv(A)
ans =
0.0213 – 0.0193i – 0.0048 + 0.0128i
– 0.0028 + 0.0016i 0.0047 – 0.0017i

(g) >> (A^2 + B^2) – (A * B)
ans =
1.0e + 002 *
–0.7948 – 0.8383i 0.7358 – 2.1611i
0.7819 + 1.0010i 1.6700 – 0.6000i

F:\Final Book\Sanjay\IIIrd Printout\Dt. 10-03-09