Page 100 - MATLAB an introduction with applications

MATLAB Basics ——— 85

PROBLEMS

P1.1: Compute the following quantity using MATLAB in the Command Window:

3
7
17 5 –1 5log (e ) 4
10
2 2 + π 121 + ln(e ) + 11
15 –13
P1.2: Compute the following quantity using MATLAB in the Command Window:
tan x + sin 2x
5
2
B = + log x − x + cosh x − 2tanh x ; for x = 5π/6.
cos x
P1.3: Compute the following quantity using MATLAB in the Command Window:
ab (a ) b a 14 b log c
x = a c ln(2) 10 2sinh a 3tanh b
b
c | ab | e 3c log (a ) c
10
for a = 1, b = 2 and c = 1.8.
P1.4: Use MATLAB to create
7.8
(a) a row and column vectors that has the elements: 11, –3, e , ln(59), tan(p/3), 5 log (26).
10
(b) a row vector with 20 equally spaced elements in which the first element is 5.
(c) a column vector with 15 equally spaced elements in which the first element is –1.
P1.5: Enter the following matrix A in MATLAB and create:

1 2 3 4 5 6 7 8

9 10 1112 1314 1516
A 17 18 19 20 21 22 23 24

25 26 27 28 29 30 31 32

33 34 35 36 37 38 39 40
st
th
nd
th
th
rd
st
(a) a 4 × 5 matrix B from the 1 , 3 and the 5 rows, and the 1 , 2 , 4 and 8 columns of the matrix A.
th
th
th
(b) a 16 element-row vector C from the elements of the 5 row, and the 4 and 6 columns of the matrix A.
1.8

P1.6: Given the function y x 20.02 e x ln x. Determine the value of y for the following values of
x : 2, 3, 8, 10, –1, –3, –5, –6.2. Solve the problem using MATLAB by first creating a vector x, and creating
a vector y, using element-by-element calculations.
P1.7: Define a and b as scalars, a = 0.75, and b = 11.3, and x, y and z as the vectors, x = 2, 5, 1, 9,
y = 0.2, 1.1, 1.8, 2 and z = –3, 2, 5, 4. Use these variables to calculate A given below using element-by-element
computations for the vectors with MATLAB.

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