(a) Start up MATLAB. In thecommand window type x = -1:0.1:1 and then execute each of the following statements by typing them in and pressing return:

sqrt(x)                     cos(x)

sin(x)                       2./x

x.\ 3                        plot(x, sin(x.^3))

plot(x, cos(x.^4))

Examine the effects of each statement carefully.

(b) Execute the following and explain the results:

x = [2 3 4 5]

y = -1:1:2

x.^y

x.*y

x./y

(a) Set up the matrix A = [1 5 8;84 81 7;12 34 71] in the command window and examine the contents of A(1,1), A(2,1), A(1,2), A(3,3), A(1:2,:), A(:,1), A(3,:), and A(:,2:3). (b) What do the following MATLAB statements produce?

x = 1:1:10

z = rand(10)

y = [z;x]

c = rand(4)

e = [c eye(size(c)); eye(size(c)) ones(size(c))]

d = sqrt(c)

t1 = d *d

t2 = d. *d