Software introduction

Matlab is the software developed by the MathWorks, Inc., Natick, USA. In 1984, the first
version appeared. Software was primarily used only for the mathematical computation
enabling the computation of complicated matrix equations and their systems. All major
functions can directly use the matrix as the input. From that year, the software is still under
development enlarging the area of the users every year. Matlab became the standard in the
area of simulation and modelling and it is used by the researchers and students at
universities mainly in the areas of Control Engineering, Power Plant Systems, Aerospace,
Bioinformatics, Economics and Statistics. In comparison to other software such as
Mathematica or Maple, Matlab has several advantages. Let us mention some. Its open
architecture enables sharing all source code among the user community and several
different areas are solved and the solution appears usually as a new toolbox. Simulink is the
important Matlab enlargement which simplifies the computation very much. You just drag
and drop the blocks to the new window from the block libraries and connect them and run
the model. Matlab is used not only at universities but also in practice, for instance by NASA
or General Motors. Most Matlab users are from the major world countries, such as USA,
Japan, China, and India.


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MATLAB introduction

                                                    About MATLAB

• The Golden Ratio:-What is the world's most interesting number? Perhaps you like ¼, or e, or 17.
  Some people might vote for Á, the golden ratio, computed here by our ¯rst Matlab
  statement.
  phi = (1 + sqrt(5))/2
  This produces
  phi =
  1.6180
  Let's see more digits.
  format long
  phi
  phi =
  1.61803398874989

 If you have forgotten the quadratic formula, you can ask Matlab to ¯nd
the roots of the polynomial. Matlab represents a polynomial by the vector of its
coe±cients, in descending order. So the vector
p = [1 -1 -1]
represents the polynomial
p(x) = x2 ¡ x ¡ 1:
The roots are computed by the roots function.
r = roots(p)
produces
r =
-0.61803398874989
1.61803398874989
These two numbers are the only numbers whose reciprocal can be computed by
subtracting one.

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