Q1. Create the matrices A and B:
[
]
[
]
and find
a)
b)
c)
SOLUTION:
A=[3 -2 1 ;-1 5 4] B=[7 3 -1; 2 4 1]
a) 2*A-B = [-1 -7 3 ; -4 6 7]
b) A.^2 + 3 = [ 9 4 1 ; 1 25 16] + 3 = [12 7 4 ; 4 28 19]
c) A.*B – 2 = [21 -6 -1; -2 20 4 ] – 2 = [ 19 -8 -3; -4
18
2]
Q2. The mechanical work (W) done in using a force (F) to push a block through a
distance (D) is W = FD. The following table gives data on the amount of force used to
push a block through the given distance over five segments of a certain path. Use
MATLAB to find the work done on each segment of the path.
1
400
3
Force (N)
Distance (m)
Path segment
2
3
4
550 700 500
0.5 0.75 1.5
SOLUTION:
Force = [400 550 700 500 600]
Distance=[3 0.5 0.75 1.5 5];
Work=F.*Distance
[ 1200
275
525
750
3000]
Q3. Create the matrix X:
[
and find
a) a = size(X)
b) e = size(X,1)
c) f = size(X,2)
]
5
600
5
d) [j,k] = max(X)
e) min(X)
SOLUTION:
X=[3 7 -4 12; -5 9 10 2; 6 13 8 11; 15 5 4 1]
a) 4
4
b) 4
c) 4
d)
j =
15
13
k =
4
3
e)
-5
5
10
12
2
1
-4
1
Q4. Given the following matrix, a, find and show in matrix form the resulting matrices
in each case:
 1
2
a  
3

4
1 0
2
1  1 0 
3 3
3

0 0  4
a) Find the resulting arrays b, c and d provided that the assignment statements
are given
b=a(1:3, 2:end);
c=[a(4,1:3); ones(1,3)*-1]
b) Create a 4X4 matrix out of the components shown below. Initially find matrix
e then construct matrix A.
e = a(3:-2:1,3:end)
A = [e, 2*e ; e.^2, e + 2 ]
SOLUTION:
a)
b=
1 0
1 -1
3 3
c=
2
0
3
4 0 0
-1 -1 -1
b)
e=
A=
3
0
3
2
3
0
9
0
3
2
9
4
6
0
5
2
6
4
5
4
Q5. The volume V of a cylinder of radius r and height h is given by
Write a script to compute the volume of the cylinder of given radius
m and
height h = 5 m. Create a radius array containing values in the given range with 0.5 m
increment. Then, calculate and print out the radius and the corresponding volumes in
two columns on the screen.
SOLUTION:
%This script calculates the volume of cylinder for a given
%radius and height
h=5;
r=0:0.5:5;
V= pi*r.^2*h;
table= [r',V']
OR
table=[r;V]'