Question

Using Matlab please answer problem 1, part a . Please explain for part a.

1. MATLAB Script Files

(a) Experiment with vectors in MATLAB. Try the following:

iset = -3 :11;

iset

cos( pi*iset/4)

Explain how the last example computes the different values of cosine without a loop.

Answer 1

iset = -3:11 gives a vector starting from -3 to 11 with step sie of 1

iset =

   -3   -2   -1    0    1    2    3    4    5    6    7    8    9   10   11

cos(pi*iset/4)

to explain this

first iset/4 gives a vector of same length iset but each element will be divided by 4

pi*(iset/4) multiples each element of iset/4 with pi

cos(pi*iset/4) computes cos of each element of pi*iset/4 and produces the result

here pi*iset/4 is a vector

evaluating a function with vector gives a vector

cos(pi*iset/4) =

ans =

 Columns 1 through 6:

  -7.0711e-01   6.1232e-17   7.0711e-01   1.0000e+00   7.0711e-01   6.1232e-17

 Columns 7 through 12:

  -7.0711e-01  -1.0000e+00  -7.0711e-01  -1.8370e-16   7.0711e-01   1.0000e+00

 Columns 13 through 15:

   7.0711e-01   3.0616e-16  -7.0711e-01