Contents
Problem 1:
given:
A = [ 34 56 31; -45 6 43 ]
A =
34 56 31
-45 6 43
compute:
size(A)
A.^2
% demonstrates component-wise squaring
ans =
2 3
ans =
1156 3136 961
2025 36 1849
Problem 2:
given:
abc = 1:10 def = 5:14
abc =
1 2 3 4 5 6 7 8 9 10
def =
5 6 7 8 9 10 11 12 13 14
compute:
ghi = 3*abc + def + 1
% demonstrates scalar mult and addition
ghi =
9 13 17 21 25 29 33 37 41 45
Problem 3:
given:
abc = [1 2 3 4;5 6 7 8] def = [4 3 2 1;0 -1 -3 3]
abc =
1 2 3 4
5 6 7 8
def =
4 3 2 1
0 -1 -3 3
compute:
%abc*def abc*def' abc'*def abc.*def % demonstrates the correct way(s) to multiply matrices
ans =
20 1
60 -3
ans =
4 -2 -13 16
8 0 -14 20
12 2 -15 24
16 4 -16 28
ans =
4 6 6 4
0 -6 -21 24
Problem 4:
given
f='x+cos(x)^2'
f = x+cos(x)^2
compute the integral
I=int(f)
I = x/2 + sin(2*x)/4 + x^2/2
compute the integral and display as if typeset:
pretty((int(f)))
% note that this requires the symbolic toolbox to be installed
2
x sin(2 x) x
- + -------- + --
2 4 2
plot the integral on [-2 pi 2 pi]
ezplot(I,[-2*pi 2*pi])
